Khovanskii Askold Georgievich

Total publications: 160 (137)
in MathSciNet: 101 (88)
in zbMATH: 65 (61)
in Web of Science: 60 (50)
in Scopus: 57 (55)
Cited articles: 83
Citations in Math-Net.Ru: 388
Citations in MathSciNet (by Sep 2017): 1011
Citations in Web of Science: 358
Citations in Scopus: 631
Presentations: 20

Number of views:
This page:4264
Abstract pages:23523
Full texts:7898
Khovanskii Askold Georgievich
Doctor of physico-mathematical sciences (1988)
Birth date: 3.06.1947
E-mail: ,
Keywords: newton polyhedra, toric geometry, fewnomials, real analitik sets, topological version of Galois theory.


The topological version of Galois theory answers the question about the insolvability of differential equations in quadratures by looking at the Riemann surfaces of the solutions. The topological version of Galois theory provides with the strongest results about the insolvability of differential equations in finite terms. The theory of fewnomials describes a wide class of real transcendental arieties, that are very similar to algebraic varieties. The theory of fewnomials is widely used in different areas of mathematics such as real algebraic geometry, logic, the theory of abelian integrals, the theory of elementary functions, and the qualitative theory of differential equations. The theory of Newton polyhedra relates the geometry of convex polyhedra and algebraic geometry. I discovered a connection between the theory of Newton polyhdera and the geometry of toric varieties. This connection is nowadays fundamental in the theory of Newton polyhedra. Using the geometry of polyhedra I was able to calculate many invariants of algebraic varieties. On the other hand, methods of algebraic geometry allowed me to obtain a series of new results in the geometry of polyhedra.


Graduated from Faculty of Mathematics and Mechanics of M.V. Lomonosov Moscow State University (MSU) in 1970 (department of theory of functions and functional analysis). Ph.D. thesis was defended in 1973. D.Sci. thesis was defended in 1988. A list of my works contains about 100 titles.

Main publications:
  1. A. G. Khovanskii, “Newton polyhedra and toroidal varieties”, Funktsional. Anal. i Prilozhen., 11:4 (1977), 56–64  mathnet  mathscinet  zmath; Funct. Anal. Appl., 11:4 (1977), 289–296  crossref
  2. Khovanskii A., Fewnomials, Translations of Mathematical Monographs, 88, Providence, RI, Amer. Math. Soc., 1991, viii+139 pp.  mathscinet  zmath
  3. A. V. Pukhlikov, A. G. Khovanskii, “The Riemann–Roch theorem for integrals and sums of quasipolynomials on virtual polytopes”, Algebra i Analiz, 4:4 (1992), 188–216  mathnet  mathscinet  zmath; St. Petersburg Math. J., 4:4 (1993), 789–812
  4. Khovanskii A., “Newton polyhedrons, a new formula for mixed volume, product of roots of a system of equations”, The Arnoldfest, Proceedings of a Conference (Toronto, ON, 1997), Fields Inst. Commun., 24, 1999, 325–364  mathscinet  zmath
  5. Kaveh K., Khovanskii A. G., “Newton–Okounkov bodies, semigroups of integral points, graded algebras and intersection theory”, Annals of Mathematics, 176:2, 925–978  crossref  mathscinet
  6. Khovanskii A. G., Topological Galois theory. Solvability and unsolvability of equations in nite terms, Springer Monographs in Mathematics, XVIII, Springer, Berlin Heidelberg, 2014, 305 pp.  crossref  mathscinet
List of publications on Google Scholar
List of publications on ZentralBlatt

Full list of publications:
| by years | by types | by times cited | scientific publications | common list |

1. A. G. Khovanskii, “Newton polytopes and irreducible components of complete intersections”, Izv. Math., 80:1 (2016), 263–284  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 2)  elib  elib  scopus (cited: 1)
2. K. Kaveh, A. Khovanskii, “Complete intersections in spherical varieties”, Special Issue: The Mathematics of Joseph Bernstein, Selecta Mathematica, 22:4 (2016), 2099–2141  crossref  mathscinet  zmath  isi  elib  scopus
3. Yu. Burda, A. Khovanskii, “Polynomials invertible in $k$-radicals”, Arnold Mathematical Journal, 2:1 (2016), 121–138  crossref  mathscinet  zmath  scopus
4. V. M. Buchstaber, S. M. Gusein-Zade, M. È. Kazarian, V. V. Kozlov, S. K. Lando, S. P. Novikov, D. O. Orlov, A. G. Khovanskii, “Viktor Anatol'evich Vassiliev (on his 60th birthday)”, Russian Math. Surveys, 71:6 (2016), 1153–1157  mathnet  crossref  crossref  mathscinet  zmath  isi  elib

5. A. G. Khovanskii, “On Algebraic Functions Integrable in Finite Terms”, Funct. Anal. Appl., 49:1 (2015), 50–56  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
6. A. Khovanskii, “Irreducible components of generic complete intersections”, Toricheskaya topologiya, teoriya chisel i ikh prilozheniya, Materialy Mezhdunarodnoi konferentsii (06–12 sentyabrya 2015 goda, Khabarovsk), Izdatelstvo TOGU, Khabarovsk, 2015, 27–31
7. B. Ya. Kazarnovskiǐ, A. G. Hovanskiǐ, “The tropical Noetherity and Gröbner bases”, St. Petersburg Math. J., 26:5 (2015), 797–811  mathnet  crossref  mathscinet  isi  elib  elib  scopus

8. Yuri Burda, Ascold Khovanskii, “Signatures of branched coverings and solvability in quadratures”, Mosc. Math. J., 14:2 (2014), 225–237  mathnet  mathscinet  isi  scopus
9. Proc. Steklov Inst. Math., 286 (2014), 268–284  mathnet  crossref  crossref  isi (cited: 3)  scopus (cited: 3)
10. V. L. Arlazarov, O. A. Slavin, V. V. Farsobina, A. Khovanskii, “The search for the optimal position during the comparison of digitized images”, Scientific and Technical Information Processing, 41, no. 5, Springer-Verlag New York, Inc., Secaucus, NJ, 2014, 293–301  crossref  scopus
11. A. Khovanskii, V. Timorin, “On the theory of coconvex bodies”, Discrete & Computational Geometry, 52:4 (2014), 806–823  crossref  mathscinet (cited: 2)  zmath  isi (cited: 2)  scopus (cited: 3)
12. K. Kaveh, A. Khovanskii, “Note on the Grothendieck group of subspaces of rational functions and Shokurov's $b$-divisors”, Canadian Mathematical Bulletin, 57:3 (2014), 562–572  crossref  mathscinet  zmath  isi  elib  scopus
13. Megumi Harada, Kiumars Kaveh, A. Khovanskii, “Okounkov Bodies and Applications”, Report No. 27/2014, Oberwolfach Reports, EMS, 11, no. 2, 2014, 1459–1513  zmath
14. A. I. Bufetov, A. A. Glutsyuk, S. M. Gusein-Zade, A. S. Gorodetski, V. Yu. Kaloshin, A. G. Khovanskii, V. A. Kleptsyn, S. Yu. Nemirovskii, A. B. Sossinsky, M. A. Tsfasman, V. A. Vassiliev, S. Yu. Yakovenko, “Yulij Sergeevich Ilyashenko”, Mosc. Math. J., 14:2 (2014), 173–179  mathnet  mathscinet  isi
15. V. L. Arlazarov, E. A. Dinitz, Yu. S. Ilyashenko, A. V. Karzanov, S. M. Karpenko, A. A. Kirillov, N. N. Konstantinov, M. A. Kronrod, O. P. Kuznetsov, L. B. Okun', P. A. Pevzner, A. L. Semenov, I. A. Faradzhev, B. V. Cherkasskii, A. G. Khovanskii, “Georgy Maksimovich Adelson-Velsky (obituary)”, Russian Math. Surveys, 69:4 (2014), 743–751  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib

16. V. L. Arlazarov, O. A. Slavin, V. V. Farsobina, A. G. Khovanskii, “Poisk optimalnogo polozheniya pri sravnenii otsifrovannykh obrazov”, Iskusstvennyi intellekt i prinyatie reshenii, 2013, no. 3, 48–58  elib
17. A. G. Khovanskii, “Polinomy Chebyshëva i ikh obrascheniya”, Matem. prosv., ser. 3, 17, Izd-vo MTsNMO, M., 2013, 93–106  mathnet (cited: 1)
18. A. G. Khovanskii, “Postroeniya tsirkulem i lineikoi”, Matem. prosv., ser. 3, 17, Izd-vo MTsNMO, M., 2013, 42–60  mathnet
19. K. Kaveh, A. Khovanskii, “On mixed multiplicities of ideals”, 2013, 20 pp., arXiv: 1310.7979v1  mathscinet (cited: 4)
20. A. G. Khovanskii, Mat. Pros., 17, MCCME, Moscow, 2013, 93–106  mathnet
21. A. G. Khovanskii, Mat. Pros., 17, MCCME, Moscow, 2013, 42–60  mathnet

22. Kiumars Kaveh, Askold G. Khovanskii, “Convex bodies associated to actions of reductive groups”, Mosc. Math. J., 12:2 (2012), 369–396  mathnet (cited: 8)  mathscinet (cited: 12)  zmath  isi (cited: 9)  scopus (cited: 8)
23. A. G. Khovanskii, “Completions of Convex Families of Convex Bodies”, Math. Notes, 91:3 (2012), 415–429  mathnet  crossref  crossref  mathscinet  isi (cited: 1)  elib  elib  scopus
24. K. Kaveh, A. Khovanskii, “Newton–Okounkov bodies, semigroups of integral points, graded algebras and intersection theory”, Annals of Mathematics, 176:2 (2012), 925–978  crossref  mathscinet (cited: 59)  zmath  isi (cited: 61)  scopus (cited: 62)
25. A. Khovanskii, A. Varchenko, “Arnold's Seminar, First Years”, Notices of the AMS, 59:3 (2012), 393–396
26. K. Kaveh, A. Khovanskii, “Algebraic equations and convex bodies”, Perspectives in Analysis, Geometry and Topology, Progress in Mathematics, 296, Springer Science+Business Media, 2012, 263–282  mathscinet (cited: 22)
27. V. I. Arnold, A. N. Varchenko, A. B. Givental, A. G. Khovanskii, Singularities of functions, wave fronts, caustics and multidimensional integrals, Reviews in Mathematics and Mathematical Physics, 14, no. 2, Cambridge Scientific Publishers, Cambridge, 2012, 122 pp.

28. A. G. Khovanskii, “Intersection theory and Hilbert function”, Funct. Anal. Appl., 45:4 (2011), 305–315  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 1)  elib  elib  scopus (cited: 1)
29. Kiumars Kaveh, A. G. Khovanskii, “Newton polytopes for horospherical spaces”, Mosc. Math. J., 11:2 (2011), 265–283  mathnet (cited: 4)  mathscinet (cited: 3)  isi (cited: 4)  scopus (cited: 4)
30. Yu. Burda, A. Khovanskii, “Branching data for algebraic functions and representability in radicals”, Algebraic method in dinamical systems, 94, Banach Center Publ., Warsaw, 2011, 131–142  mathscinet  zmath
31. B. Kazarnovskii, A. Khovanskii, “Universal Groebner basis”, Proceedings of the International Conference on Polynomial Computer Algebra, Saint Peterburg, 2011, 65–69
32. V. Arlazarov, O. Slavin, A. Khovanskii, “Estimation of the distance between images for translation”, Doklady Mathematics, 83:2 (2011), 272–274  crossref  mathscinet  zmath  isi  scopus
33. Megumi Harada, Kiumars Kaveh, A. Khovanskii, “New Developments in Newton–Okounkov Bodies”, Report No. 41/2011, Oberwolfach Reports, EMS, 8, no. 3, 2011, 2327–2364  mathscinet

34. Kiumars Kaveh, A. G. Khovanskii, “Mixed volume and an extension of intersection theory of divisors”, Mosc. Math. J., 10:2 (2010), 343–375  mathnet (cited: 9)  mathscinet (cited: 8)  isi (cited: 9)  scopus (cited: 9)
35. V. A. Timorin, A. G. Khovanskii, Mat. Pros., 14, MCCME, Moscow, 2010, 30–57  mathnet
36. V. A. Timorin, A. G. Khovanskii, “Mnogogranniki i uravneniya”, Matem. prosv., ser. 3, 14, Izd-vo MTsNMO, M., 2010, 30–57  mathnet (cited: 1)
37. K. Kaveh, A. Khovanskii, “Moment polytopes, semigroup of representations and Kazarnovskii's theorem”, Journal of Fixed Point Theory and Applications, 7:2 (2010), 401–417  crossref  mathscinet (cited: 5)  zmath  isi (cited: 5)  scopus (cited: 5)
38. S. B. Artemov, A. A. Belavin, V. M. Buchstaber, A. I. Esterov, B. L. Feigin, V. A. Ginzburg, E. A. Gorsky, Yu. S. Ilyashenko, A. A. Kirillov, A. G. Khovanskii, S. K. Lando, G. A. Margulis, Yu. A. Neretin, S. P. Novikov, S. B. Shlosman, A. B. Sossinsky, M. A. Tsfasman, A. N. Varchenko, V. A. Vassiliev, S. G. Vlăduţ, “Sabir Medgidovich Gusein-Zade”, Mosc. Math. J., 10:4 (2010), 831–832  mathnet
39. D. Anosov, V. Buchstaber, S. Gusein-Zade, Yu. Ilyashenko, A. Khovanskii, S. Lando, S. Novikov, A. Sossinsky, M. Tsfasman, V. Vassiliev, “Vladimir Igorevich Arnold”, Mosc. Math. J., 10:3 (2010), 481–483  mathnet  mathscinet (cited: 1)  isi

40. A. M. Abramov, V. I. Arnol'd, A. V. Bolsinov, A. N. Varchenko, L. Galgani, B. I. Zhilinskii, Yu. S. Il'yashenko, V. V. Kozlov, A. I. Neishtadt, V. I. Piterbarg, A. G. Khovanskii, V. V. Yashchenko, “Nikolai Nikolaevich Nekhoroshev (obituary)”, Russian Math. Surveys, 64:3 (2009), 561–566  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 2)  elib

41. A. Khovanskii, “Mnogogranniki i algebra”, Trudy Instituta sistemnogo analiza RAN, 38 (2008), 23–35
42. Yu. Burda, A. Khovanskii, “Degree of rational mapping, and the theorems of Sturm and Tarski”, Journal of Fixed Point Theory and Applications, 3:1 (2008), 79–93  crossref  mathscinet (cited: 2)  zmath  isi (cited: 1)  scopus (cited: 1)
43. A. Khovanskii, “Logarithmic functional and reciprocity laws”, Toric Topology, International Conference (May 28–June 3, 2006, Osaka City University, Osaka, Japan), Contemporary Mathematics, 460, Amer. Math. Soc., Providence, RI, 2008, 221–229  crossref  mathscinet (cited: 2)  zmath
44. A. Esterov, A. Khovanskii, “Elimination theory and Newton polyhedra”, Functional Analysis and Other Mathematics, 2, no. 1, Springer Berlin/Heidelberg, 2008, 45–71  crossref  mathscinet (cited: 8)

45. A. Khovanskii, Topological Galois theory. Solvability and unsolvability of equations in finite terms, Translated by Valentina Kiritchenko and Vladlen Timorin, Springer Monographs in Mathematics, Springer Berlin Heidelberg, 2014, xviii+305 pp.  crossref  mathscinet (cited: 6)  zmath

46. K. Kaveh, A. Khovanskii, “Convex bodies and algebraic equations on affine varieties”, 2008, 44 pp., arXiv: 0804.4095

47. A. Khovanskii, “Logarithmic Functional and the Weil Reciprocity Law”, Proceedings of the Waterloo Workshop on Computer Algebra 2006, eds. Kotsireas I., Zima E., World Scientific Press, 2007, 85–108  mathscinet (cited: 1)
48. A. G. Khovanskii, “Variations on the Theme of Solvability by Radicals”, Proc. Steklov Inst. Math., 259 (2007), 82–100  mathnet  crossref  mathscinet  zmath  elib  elib  scopus

49. A. Khovanskii, Galois theory, coverings, and Riemann surfaces, Translated by V. Kiritchenko and V. Timorin, Springer Berlin Heidelberg, 2013, 81 pp.  mathscinet (cited: 1)  zmath  scopus

50. S. M. Gusein-Zade, Yu. S. Ilyashenko, M. E. Kazarian, A. G. Khovanskii, S. K. Lando, A. B. Sossinski, M. A. Tsfasman, V. A. Vassiliev, V. M. Zakalyukin, “Vladimir Igorevich Arnold”, Mosc. Math. J., 7:3 (2007), 571  mathnet  mathscinet (cited: 2)  isi
51. A. N. Varchenko, V. A. Vassiliev, S. M. Gusein-Zade, A. A. Davydov, V. M. Zakalyukin, Yu. S. Ilyashenko, M. E. Kazarian, A. G. Kushnirenko, S. K. Lando, A. G. Khovanskii, “Vladimir Igorevich Arnold in the Eyes of His Students: On the occasion of his 70th birthday”, Proc. Steklov Inst. Math., 259 (2007), 1–5  mathnet  crossref  mathscinet  zmath  elib  scopus

52. A. G. Khovanskii, “An Analog of Determinant Related to Parshin–Kato Theory and Integer Polytopes”, Funct. Anal. Appl., 40:2 (2006), 126–133  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 4)  elib  elib  scopus (cited: 3)
53. A. G. Khovanskii, S. P. Chulkov, “The Hilbert polynomial for systems of linear partial differential equations with analytic coefficients”, Izv. Math., 70:1 (2006), 153–169  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 1)  elib  elib  scopus (cited: 1)
54. A. G. Khovanskii, D. Novikov, “On affine hypersurfaces with everywhere nondegenerate second quadratic form”, Mosc. Math. J., 6:1 (2006), 135–152  mathnet (cited: 1)  mathscinet (cited: 3)  zmath  isi
55. A. Khovanskii, “Problema Arnolda o giperbolicheskikh poverkhnostyakh v proektivnykh prostranstvakh”, Nezavisimyi moskovskii universitet, Seminar “Globus”, no. 3, Izd-vo MTsNMO, M., 2006, 28–46
56. A. Khovanskii, “Sistemy uravnenii s mnogogrannikami Nyutona obschego polozheniya”, Nezavisimyi moskovskii universitet, Seminar “Globus”, no. 3, Izd-vo MTsNMO, M., 2006, 4–27
57. T. Fukui, A. Khovanskii, “Mapping degree and Euler characteristic”, Kodai Mathematical Journal, 29 (2006), 144–162  crossref  mathscinet (cited: 3)  zmath
58. A. Khovanskii, “Combinatorics of sections of polytopes and Coxeter groups in Lobachevsky spaces”, Proceedings of the International Conference, Coxeter Legacy: Reflections and Projections, v. 46, Fields Institute Communications, American Mathematical Society, Providence, RI, 2006, 129–157  mathscinet (cited: 1)
59. A. G. Khovanskii, S. P. Chulkov, Geometriya polugruppy $\mathbf Z^n_{\geq 0}$. Prilozheniya k kombinatorike, algebre i differentsialnym uravneniyam, Izd-vo MTsNMO, Moskva, 2006, 128 pp.
60. V. I. Arnol'd, V. M. Buchstaber, Yu. S. Ilyashenko, M. E. Kazarian, A. G. Khovanskii, S. K. Lando, S. P. Novikov, A. B. Sossinski, M. A. Tsfasman, “Victor A. Vassiliev”, Mosc. Math. J., 6:1 (2006), 1–3  mathnet  mathscinet  isi

61. A. G. Khovanskii, S. P. Chulkov, “Hilbert and Hilbert–Samuel polynomials and partial differential equations”, Math. Notes, 77:1 (2005), 130–139  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
62. D. V. Anosov, V. I. Arnol'd, A. A. Glutsyuk, A. S. Gorodetski, V. Y. Kaloshin, A. B. Katok, A. G. Khovanskii, S. K. Lando, A. B. Sossinski, M. A. Tsfasman, S. Yu. Yakovenko, “Yulij S. Ilyashenko”, Mosc. Math. J., 5:1 (2005), 3–4  mathnet  mathscinet  isi
63. A. Khovanskii, Journal of Complexity, 21:1, Special Issue: Foundations of Computational Mathematics 2002 Workshops (2005)  crossref  isi  scopus

64. A. G. Khovanskii, “On solvability and unsolvability of equations in explicit form”, Russian Math. Surveys, 59:4 (2004), 661–736  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 5)  elib  scopus (cited: 7)
65. A. Khovanskii, D. Novikov, “Comments to the Arnold problem 1987-4”, Arnold's Problems, Springer-Verlag, Berlin; PHASIS, Moscow, 2004, 457–458
66. A. Khovanskii, “Résolubilité des équations par formules explicites (théorie de Liouville, théorie de Galois différentielle et obstructions topologiques)”: V. B. Alekseev, Le theoreme d'Abel: un cours d'Arnold, Vuibert, Cassini, 2004
67. A. G. Khovanskii, Kompleksnyi analiz, Izd-vo MTsNMO, Moskva, 2004, 48 pp.
68. A. Khovanskii, “Solvability of equations by explicit formulae”: V. B. Alekseev, Abel's Theorem in Problems and Solutions Based on the lectures of Professor V. I. Arnold, Kluwer Academic Publishers, 2004, 221–263

69. A. G. Khovanskii, “On the Nonrepresentability of Functions of Several Variables by Quadratures”, Funct. Anal. Appl., 37:4 (2003), 302–310  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 1)  elib  scopus (cited: 2)
70. A. G. Khovanskii, “On the Monodromy of a Multivalued Function Along Its Ramification Locus”, Funct. Anal. Appl., 37:2 (2003), 134–141  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 1)  elib  scopus (cited: 1)
71. A. G. Khovanskii, D. Novikov, “$L$-convex-concave sets in real projective space and $L$-duality”, Mosc. Math. J., 3:3 (2003), 1013–1037  mathnet (cited: 1)  mathscinet (cited: 2)  zmath  isi (cited: 1)
72. A. Khovanskii, D. Novikov, “$L$-convex-concave body in ${\mathbf R}P^3$ contains a line”, Geometric and Functional Analysis (GAFA), 13 (2003), 1082–1118  crossref  mathscinet (cited: 3)  isi (cited: 2)  scopus
73. A. Khovanskii, “A topological version of Galois theory”, Proceeding of International Conference, Kolmogorov and Cotemporary Mathematics, 2003, 777–780
74. A. Khovanskii, “Three lectures on Fewnomials and Noetherian intersections”, Proceeding of workshops (November 5–8, 2002), Research Institute for Mathematical Sciences, no. 6, Kyoto University, Kyoto, Kokyuroku, 2003, 42–72
75. S. M. Gusein-Zade, Yu. S. Ilyashenko, A. G. Khovanskii, M. A. Tsfasman, V. A. Vassiliev, “Vladimir Igorevich Arnold”, Mosc. Math. J., 3:2 (2003), 261  mathnet

76. O. A. Gelfond, A. G. Khovanskii, “Toric geometry and Grothendieck residues”, Mosc. Math. J., 2:1 (2002), 99–112  mathnet (cited: 11)  mathscinet (cited: 11)  zmath  isi (cited: 12)  elib

77. A. G. Khovanskii, “On the Continuability of Multivalued Analytic Functions to an Analytic Subset”, Funct. Anal. Appl., 35:1 (2001), 52–60  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 1)  elib  scopus (cited: 3)
78. A. Khovanskii, “Three lectures on Newton polyhedra. Newton polyhedrons and Singularities”, Proceeding of workshops (28–31 May, 2001), Research Institute for Mathematical Sciences, no. 10, Kyoto University, Kyoto, Kokyuroku, 2001, 1–17  mathscinet (cited: 1)

79. A. G. Khovanskii, “Families of Sections of Quadrics and Classical Geometries”, Funct. Anal. Appl., 34:3 (2000), 235–238  mathnet  crossref  crossref  mathscinet  zmath  isi  scopus
80. A. Khovanskii, “Geometricheskoe obobschenie zadachi o preobrazovanii nomogramm iz vyrovnennykh tochek v tsirkulnye nomogrammy”, Nomograficheskii sbornik, no. 17, VTs RAN, 2000, 73–88

81. A. Khovanskii, “Newton polyhedrons, a new formula for mixed volume, product of roots of a system of equations”, The Arnoldfest (Proceedings of a Conference in Honor of V. I. Arnold for his Sixtieth Birthday), Fields Institute Communications, 24, Amer. Math. Soc., Providence, RI, 1999, 325–364  mathscinet (cited: 13)  zmath
82. A. Khovanskii, The Arnoldfest, Proceedings of a Conference in Honor of V. I. Arnold for his Sixtieth Birthday, Fields Institute Communications, 24, Amer. Math. Soc., Providence, RI, 1999  mathscinet (cited: 5)
83. A. G. Khovanskii, “Boundary indices of polynomial 1-forms with homogeneous components”, St. Petersburg Math. J., 10:3 (1999), 553–575  mathnet  mathscinet  zmath

84. A. Gabrielov, A. Khovanskii, “Multiplicity of a Noetherian Intersection”, Geometry of Differential Equations, Amer. Math. Soc. Transl., Ser. 2, 186, Amer. Math. Soc., Providence, RI, 1998, 119–130  crossref  mathscinet (cited: 10)  zmath
85. A. Khovanskii, Geometry of Differential Equations, Amer. Math. Soc. Transl., Ser. 2, 186, Amer. Math. Soc., Providence, RI, 1998  crossref

86. A. G. Khovanskii, “On a Lemma of Kontsevich”, Funct. Anal. Appl., 31:4 (1997), 296–298  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 2)  scopus (cited: 1)
87. A. G. Khovanskii, “Newton polygons, curves on torus surfaces, and the converse Weil theorem”, Russian Math. Surveys, 52:6 (1997), 1251–1279  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 6)  scopus (cited: 3)
88. A. Khovanskii, “Consistent partitions of polytopes and polynomial measures”, Topics in Singularity Theory: V. I. Arnold's 60th Anniversary Collection, Amer. Math. Soc. Transl., Ser. 2, 180, Amer. Math. Soc., Providence, RI, 1997, 157–166  crossref  mathscinet (cited: 1)
89. A. G. Khovanskii, Malochleny, Fazis, Moskva, 1997, xii+217 pp.  mathscinet (cited: 6)
90. D. V. Anosov, A. A. Bolibrukh, V. A. Vassiliev, A. M. Vershik, A. A. Gonchar, M. L. Gromov, S. M. Gusein-Zade, V. M. Zakalyukin, Yu. S. Ilyashenko, V. V. Kozlov, M. L. Kontsevich, Yu. I. Manin, A. I. Neishtadt, S. P. Novikov, Yu. S. Osipov, M. B. Sevryuk, Ya. G. Sinai, A. N. Tyurin, L. D. Faddeev, B. A. Khesin, A. G. Khovanskii, “Vladimir Igorevich Arnol'd (on his 60th birthday)”, Russian Math. Surveys, 52:5 (1997), 1117–1139  mathnet  crossref  crossref  mathscinet  adsnasa  isi
91. A. Khovanskii, Topics in Singularity Theory: V. I. Arnold's 60th Anniversary Collection, Amer. Math. Soc. Transl., Ser. 2, 180, Amer. Math. Soc., Providence, RI, 1997  crossref  mathscinet

92. G. S. Khovanskii, A. G. Khovanskii, E. G. Kozlova, O nekotorykh voprosakh teoreticheskoi i prikladnoi nomografii, VTs RAN, 1996, 99 pp.  mathscinet
93. A. Khovanskii, S. Yakovenko, “Generalized Rolle theorem in $R^n$ and $C$”, Journal of dynamical and control systems, 2:1 (1996), 103–123  crossref  mathscinet (cited: 17)  zmath  scopus (cited: 18)
94. O. Gelfond, A. Khovanskii, “Newton polyhedra and Grothendieck residues”, Doklady Mathematics, 54:2 (1996), 700–702  mathscinet  zmath  isi  scopus (cited: 2)  scopus (cited: 2)
95. A. Khovanskii, S. Zdravkovska, “Branched covers of $S^2$ and braid groups”, Journal of Knot Theory and its Ramifications, 5:1 (1996), 55–75  crossref  mathscinet (cited: 18)  isi (cited: 16)  scopus (cited: 17)

96. A. G. Khovanskii, “Sums of Finite Sets, Orbits of Commutative Semigroups, and Hilbert Functions”, Funct. Anal. Appl., 29:2 (1995), 102–112  mathnet  crossref  mathscinet  zmath  isi (cited: 7)  scopus (cited: 12)
97. A. Khovanskii, “Topological obstructions for representability of functions by quadratures”, Journal of dynamical and control systems, 1:1 (1995), 99–132  crossref  mathscinet (cited: 10)  scopus (cited: 12)

98. A. Khovanskii, A. Pukhlikov, “Integral transforms based on Euler characteristic and their application”, Integral transforms and special function, 1:1 (1993), 19–26  crossref  mathscinet (cited: 5)  scopus (cited: 7)
99. J.-M. Kantor, A. Khovanskii, “Une application du Theoreme de Riemann–Roch combinatoire au polynome d'Ehrhart des polytopes entier de R”, C. R. Acad. Sci. Paris. Ser. I, 317 (1993), 501–507  mathscinet (cited: 33)  zmath  isi (cited: 43)
100. A. V. Pukhlikov, A. G. Khovanskii, “The Riemann–Roch theorem for integrals and sums of quasipolynomials on virtual polytopes”, St. Petersburg Math. J., 4:4 (1993), 789–812  mathnet  mathscinet  zmath
101. A. V. Pukhlikov, A. G. Khovanskii, “Finitely additive measures of virtual polyhedra”, St. Petersburg Math. J., 4:2 (1993), 337–356  mathnet  mathscinet  zmath

102. A. G. Khovanskii, “Newton polyhedron, Hilbert polynomial, and sums of finite sets”, Funct. Anal. Appl., 26:4 (1992), 276–281  mathnet  crossref  mathscinet  zmath  isi (cited: 20)  scopus (cited: 23)
103. J.-M. Kantor, A. Khovanskii, Integral points in convex polyhedra, combinatorial Riemann–Roch theorem and generalized Euler–MacLaurin formula, Preprint IHES, France, 1992  zmath

104. A. Khovanskii, Fewnomials, AMS translated monographs, 88, USA, 1991, viii+139 pp.  mathscinet (cited: 145)  zmath

105. Yu. S. Ilyashenko, A. G. Khovanskii, “Galois groups, Stokes operators and a theorem of Ramis”, Funct. Anal. Appl., 24:4 (1990), 286–296  mathnet  crossref  mathscinet  zmath  isi (cited: 2)  scopus (cited: 7)
106. A. Khovanskii, G. S. Khovanskii, “Issledovanie sposobov predstavleniya uravnenii $(f_{34}-f_{12})/(g_{34}-g_{12})=(f_{56}-f_{12})/(g_{56}-g_{12})$ nomogrammami s orientirovannym transparantom, nesuschim krivolineinyi indeks”, Nomograficheskii sbornik, no. 16, VTs AN SSSR, M., 1990, 63–81  mathscinet

107. A. Khovanskii, “Newton Polyhedra (algebra and geometry)”, Amer. Math. Soc. Transl. (2), 153 (1992), 183–199  crossref  mathscinet

108. A. Khovanskii, “Algebra and mixed volumes”: Y. D. Burago, V. A. Zalgaller, Geometric inequalities, 285, Springer-Verlag, Berlin and New York, 1988, 182–207
109. A. G. Khovanskii, Mnogogranniki Nyutona i malochleny, diss. … dokt. fiz.-matem. nauk, Moskva, 1988, 332 pp.

110. A. Khovanskii, “Sopostavlenie ob'ektivno-obuslovlennykh otsenok i normativov effektivnosti v razlichnykh malosektornykh modelyakh ekonomiki”, Sbornik trudov VNIISI, no. 9, 1987, 10–23

111. A. G. Khovanskii, “Hyperplane sections of polyhedra, toroidal manifolds, and discrete groups in Lobachevskii space”, Funct. Anal. Appl., 20:1 (1986), 41–50  mathnet  crossref  mathscinet  zmath  isi (cited: 12)  scopus (cited: 20)

112. V. I. Danilov, A. G. Khovanskii, “Newton polyhedra and an algorithm for computing Hodge–Deligne numbers”, Math. USSR-Izv., 29:2 (1987), 279–298  mathnet  crossref  mathscinet  zmath  isi (cited: 11)  scopus (cited: 79)

113. A. Khovanskii, “Lineinoe programmirovanie i obobschennaya teorema Nikulina”, Sbornik trudov VNIISI, no. 7, 1985, 81–86
114. A. Khovanskii, “Lineinoe programmirovanie i geometriya vypuklykh mnogogrannikov”, Sbornik trudov VNIISI, no. 7, 1985, 73–80
115. L. V. Kantorovich, L. I. Korkina, A. Khovanskii, “Sopostavlenie modelei i otsenka vliyaniya sokraschennogo laga stroitelstva i laga NTP na dinamiku ekonomicheskikh pokazatelei”, Sbornik trudov VNIISI, no. 7, 1985, 3–12
116. E. I. Korkina, A. G. Khovanskii, “Dvukhsektornaya ekonomika s razlichnymi koeffitsientami amortizatsii v razlichnykh sektorakh”, Teoriya, metodologiya i praktika sistemnykh issledovanii, Vsesoyuz. konf., Sektsiya 7. Sistem. issled. nauch.-tekhn. razvitiya: Tez. dokl. (29–31 yanvarya 1985 g.), Nauka, M., 1985, 135–137
117. A. Varchenko, A. Khovanskii, “Asymptotics of integrals over vanishing cycles and the Newton polyhedron”, Soviet Math. Dokl., 32:1 (1985), 122–127  mathnet  mathscinet  zmath  isi

118. A. G. Khovanskii, “Real analytic varieties with the finiteness property and complex abelian integrals”, Funct. Anal. Appl., 18:2 (1984), 119–127  mathnet  crossref  mathscinet  zmath  isi (cited: 62)  scopus (cited: 57)
119. A. Khovanskii, “On analogues of Alexandrov–Fenchel inequalities for hyperbolic forms”, Soviet Math. Dokl., 29:3 (1984), 710–713  mathnet  mathscinet  isi
120. A. Khovanskii, “Smeshannye ob'emy”, UMN, 39:5 (1984), 227–228  mathnet

121. A. Khovanskii, “Cycles of dynamic systems on a plane and Roll theorem”, Siberian Math. J., 25:3 (1985), 502–506  crossref  mathscinet  isi (cited: 2)  scopus (cited: 2)

122. V. I. Arnol'd, A. N. Varchenko, A. B. Givental', A. G. Khovanski\u{i}, “Singularities of functions, wave fronts, caustics and multidimensional integrals”, Mathematical physics reviews, v. 4, Soviet Sci. Rev. Sect. C Math. Phys. Rev., 4, Harwood Academic Publ., Chur, 1984, 1–92  mathscinet (cited: 2)
123. A. G. Khovanskii, “Newton polyhedra (resolution of singularities)”, J. Soviet Math., 27:3 (1984), 2811–2830  mathnet  crossref  mathscinet  zmath  scopus (cited: 9)

124. L. Kantorovich, E. Korkina, A. Khovanskii, “Optimizatsiya potrebleniya v nepreryvnoi i diskretnoi modelyakh dvukhsektornoi ekonomiki”, Sbornik trudov VNIISI, no. 9, 1983, 14–20

125. L. Kantorovich, L. Korkina, A. Khovanskii, “Asymptotic optimization of consumption in a model of two-sector economy”, Siberian Math. J., 24:5 (1984), 704–708  crossref  zmath  isi  scopus

126. E. Korkina, A. Khovanskii, “Printsip differentsialnoi optimizatsii i malosektornye modeli ekonomiki”, Sbornik trudov VNIISI, no. 8, 1982, 3–10
127. A. Khovanskii, G. S. Khovanskii, “Metody nomografirovaniya nekotorykh zavisimostei, osnovannye na ispolzovanii dvukhparametricheskikh semeistv pryamykh, okruzhnostei i ellipsov”, Nomograficheskii sbornik, no. 14, M., VTs AN SSSR, 1982, 70–105  mathscinet (cited: 1)
128. A. Khovanskii, G. S. Khovanskii, “Preobrazovanie nomogrammy iz vyrovnennykh tochek i s parallelnym indeksom v nomogrammy iz ravnoudalennykh tochek i issledovanie ikh prisposoblyaemosti”, Nomograficheskii sbornik, no. 14, M., VTs AN SSSR, 1982, 56–77  mathscinet (cited: 1)
129. A. Khovanskii, “Ob otsenke chisla veschestvennykh kornei malochlenov”, UMN, 37:1 (1982), 165  mathnet (cited: 1)

130. A. Khovanskii, “Local multiplicity of a holomorphic map”: V. I. Arnold, S. M. Gusein-Zade, A. N. Varchenko, Singularities of differentiable maps, Monographs in Mathematics, 82, Birkhauser Einheitssacht, 1985, 84–114

131. E. Korkina, A. Khovanskii, ““Zolotoe pravilo” dlya modeli dvusektornoi ekonomiki”, Trudy seminara “Metody issledovaniya slozhnykh sistem”, VNIISI AN SSSR, M., 1981, 11–18
132. A. Khovanskii, “Mnogogrannik Nyutona i indeks vektornogo polya”, UMN, 36:4 (1981), 234
133. A. Khovanskii, “Sur les racines complexes de systemes d'equations algebraiques avant un petit nombre de monomes”, C. R. Acad. Sc. Paris, 292 (1981), 937–940  mathscinet (cited: 1)  isi (cited: 4)
134. A. Khovanskii, Theorem de Bezout pour les fonctions de Liouville, Preprint IHES, 81/85, 1981, 31 pp.
135. A. Khovanskii, G. S. Khovanskii, “O predstavlenii klassicheskikh kanonicheskikh form nomogrammami s orientirovannym transparantom i iz ravnoudalennykh tochek”, Sovremennye problemy nomografii (Tezisy dokladov Mezhvuzovskogo seminara), 1981, 50–52

136. O. A. Gelfond, A. G. Khovanskii, “Real Liouville functions”, Funct. Anal. Appl., 14:2 (1980), 122–123  mathnet  crossref  mathscinet  zmath  scopus (cited: 4)

137. A. Khovanskii, “Rectification of circles”, Siberian Math. J., 21:4 (1981), 649–652  crossref  mathscinet  isi (cited: 3)  scopus (cited: 10)

138. A. Khovanskii, “Rectification of parallel curves”, Soviet Math. Dokl., 21:1 (1980), 284–286  mathscinet  isi
139. A. G. Khovanskii, “O chisle nulei veschestvennykh uravnenii”, UMN, 35:5 (1980), 213  mathnet (cited: 7)
140. A. Khovanskii, “On one class of transcendental equation systems”, Soviet Math. Dokl., 22:3 (1980), 762–765  mathscinet  isi

141. A. G. Khovanskii, “Index of a polynomial field”, Funct. Anal. Appl., 13:1 (1979), 38–45  mathnet  crossref  mathscinet  zmath  scopus (cited: 4)
142. A. Khovanskii, G. S. Khovanskii, “Transformation of the nomograms consisting of aligned points and with parallel index into nomograms of C of equidistant points”, Soviet Math. Dokl., 20:5 (1979), 1041–1048  isi
143. A. G. Khovanskii, “Geometriya vypuklykh mnogogrannikov i algebraicheskaya geometriya”, UMN, 34:4 (1979), 160–161  mathnet (cited: 5)
144. F. John, J. Leray, S. P. Novikov, A. G. Khovanskii, S. A. Molchanov, N. V. Krylov, B. L. Rozovskii, N. R. Sibgatullin, A. V. Uglanov, S. Yu. Dobrokhotov, V. P. Maslov, “Sessions of the Petrovskii Seminar on differential equations and mathematical problems of physics”, Uspekhi Mat. Nauk, 34:3(207) (1979), 221–226  mathnet

145. A. G. Khovanskii, “Newton polyhedra and the genus of complete intersections”, Funct. Anal. Appl., 12:1 (1978), 38–46  mathnet  crossref  mathscinet  zmath  scopus (cited: 109)
146. A. G. Khovanskii, “Newton polyhedra and the Euler–Jacobi formula”, Russian Math. Surveys, 33:6 (1978), 237–238  mathnet  crossref  mathscinet  zmath  scopus (cited: 15)
147. L. V. Kantorovich, V. I. Zhiyanov, A. G. Khovanskii, “Analiz dinamiki ekonomicheskikh pokazatelei na osnove odnoproduktovykh dinamicheskikh modelei”, Sbornik trudov VNIISI, no. 9, 1978, 5–25
148. V. I. Zhiyanov, A. G. Khovanskii, “Eksponentsialnoe razvitie ekonomiki v dinamicheskoi modeli s uchetom nauchno-tekhnicheskogo progressa”, Sbornik trudov VNIISI, no. 9, 1978, 25–36
149. L. Kantorovich, V. Zhiyanov, A. Khovanskii, “Principle of differential optimization applied to a single-product dynamical model of an economic structure”, Siberian Math. J., 19:5 (1978), 744–752  crossref  mathscinet  zmath  isi  scopus
150. V. I. Zhiyanov, A. G. Khovanskii, “Yavnye resheniya v odnosektornoi modeli ekonomiki s nepreryvno raspredelennymi fondami”, Sistemnyi analiz i upravlenie nauchno-tekhnicheskim progressom, Tez. k teoret. konf. (Obninsk), 1978, 235–239

151. A. G. Khovanskii, “Newton polyhedra and toroidal varieties”, Funct. Anal. Appl., 11:4 (1977), 289–296  mathnet  crossref  mathscinet  zmath  scopus (cited: 98)

152. D. N. Bernshtein, A. G. Kushnirenko, A. G. Khovanskii, “Newton polyhedra”, Uspekhi Mat. Nauk, 31:3(189) (1976), 201–202  mathnet  mathscinet  zmath

153. Yu. S. Ilyashenko, A. G. Khovanskii, Teoriya Galua sistem differentsialnykh uravnenii tipa Fuksa s malymi koeffitsientam, preprint № 117, IPM AN SSSR, M., 1974

154. A. G. Khovanskii, O predstavimosti funktsii v kvadraturakh, diss. … kand. fiz.-matem. nauk, Moskva, 1973, 76 pp.

155. A. G. Khovanskii, “Rimanovy poverkhnosti funktsii, predstavimykh v kvadraturakh”, VI Vsesoyuznaya topologicheskaya konferentsiya Tbilisi 2–7 oktyabrya: tezisy, Metsniereba, Tbilisi, 1972

156. A. G. Khovanskii, “The representability of functions by quadratures”, Uspekhi Mat. Nauk, 26:4(160) (1971), 251–252  mathnet  mathscinet  zmath
157. A. G. Khovanskii, “Superpositions of holomorphic functions with radicals”, Uspekhi Mat. Nauk, 26:3(159) (1971), 213–214  mathnet  mathscinet  zmath

158. A. G. Khovanskii, “The representability of algebroidal functions by superpositions of analytic functions and algebroidal functions of one variable”, Funct. Anal. Appl., 4:2 (1970), 152–156  mathnet  crossref  mathscinet  zmath  scopus (cited: 2)

Presentations in Math-Net.Ru
1. Теорема Бернштейна-Кушниренко и кольцо условий комплексного тора
A. G. Khovanskii
Globus Seminar
December 7, 2017 15:40   
2. Intersection theory of subvarieties of a complex torus
A. G. Khovanskii
Lie groups and invariant theory
December 6, 2017 16:45
3. Кольцо условий комплексного тора
A. G. Khovanskii
Meetings of the Moscow Mathematical Society
October 10, 2017
4. Топологическая теория Галуа
A. G. Khovanskii
Knots and Representation Theory
May 16, 2017 18:30
5. Topological Galois theory
A. G. Khovanskii
Seminar on analytic theory of differential equations
June 15, 2016 15:30
6. Convex geometry and algebraic geometry. Lecture 4
A. G. Khovanskii
3-rd Summer School on Geometric Methods in Mathematical Physics
June 28, 2013 14:30   
7. Convex geometry and algebraic geometry. Lecture 3
A. G. Khovanskii
3-rd Summer School on Geometric Methods in Mathematical Physics
June 28, 2013 12:00   
8. Convex geometry and algebraic geometry. Lecture 2
A. G. Khovanskii
3-rd Summer School on Geometric Methods in Mathematical Physics
June 27, 2013 12:00   
9. Convex geometry and algebraic geometry. Lecture 1
A. G. Khovanskii
3-rd Summer School on Geometric Methods in Mathematical Physics
June 26, 2013 09:30   
10. Co-convex bodies and multiplicities
Askold Khovanskii
International conference "Algebraic Topology and Abelian Functions" in honour of Victor Buchstaber on occasion of his 70th birthday
June 22, 2013 10:00   
11. Арнольдовская лекция. Вокруг теоремы Бернштейна-Кушниренко
A. G. Khovanskii
Combinatorics of Vassiliev invariants
June 13, 2013 14:00
12. Algebraic geometry and convex geometry
A. G. Khovanskii
International conference "Analysis and Singularities" dedicated to the 75th anniversary of Vladimir Igorevich Arnold
December 17, 2012 10:30   
13. Обобщение многогранников Ньютона, полугруппы целых точек, градуированные алгебры, теория пересечений и смешанные объемы
A. G. Khovanskii
Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS
April 22, 2009
14. Convex geometry and algebraic equations on varieties
A. G. Khovanskii
Meetings of the Moscow Mathematical Society
December 16, 2008
15. Логарифмический функционал и символы Вейля–Паршина
A. G. Khovanskii
Seminar on Arithmetic Algebraic Geometry
April 3, 2007 11:30
16. Интегрирование элементарных функций
A. G. Khovanskii
Meetings of the Moscow Mathematical Society
April 3, 2007
17. Многомерные первообразные и многомерные символы
A. G. Khovanskii
Meetings of the Moscow Mathematical Society
December 7, 2004
18. Вариации на тему теоремы Штурма. Лекция вторая
A. G. Khovanskii
Summer School "Contemporary Mathematics", 2003
July 22, 2003 11:15   
19. Вариации на тему теоремы Штурма. Лекция первая
A. G. Khovanskii
Summer School "Contemporary Mathematics", 2003
July 21, 2003 15:30   
20. Number of zeros of solutions of differential equations
A. G. Khovanskii
Summer School "Contemporary Mathematics", 2001
July 21, 2001   

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