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Pukhlikov Aleksandr Valentinovich

Total publications: 106 (103)
in MathSciNet: 93 (91)
in zbMATH: 82 (80)
in Web of Science: 63 (61)
in Scopus: 64 (64)
Cited articles: 69
Citations in Math-Net.Ru: 451
Citations in Web of Science: 349
Citations in Scopus: 392
Presentations: 13

Number of views:
This page:2827
Abstract pages:12860
Full texts:3722
References:1352
Doctor of physico-mathematical sciences (1998)
Speciality: 01.01.06 (Mathematical logic, algebra, and number theory)
Birth date: 18.12.1962
E-mail: ,
Keywords: algebraic variety, Fano variety, Fano fibration, birational map, birational rigidity, divisor, linear system, singularity, intersection theory, optimal control, optimal system, discontinuous Hamiltonian system.
UDC: 512.76, 512.776, 512.724, 517.977, 513.6, 512.7, 519.6, 517.938
MSC: 14E05, 14E07, 14E08, 14J45, 14J30, 14M10, 14M20, 14M25, 14D06, 93C10, 37D40, 90C15, 34H05, 34D05, 93D05, 49K15

Subject:

Birational geometry of higher-dimensional algebraic varieties.

Biography

Graduated from Lomonosov Moscow State University (Department of Mathematics and Mechanics, Chair of Algebra) in 1984. Ph.D. (Cand. Sci.) — 1987 from Moscow State University. D.Sci. (Mathematics) — 1998 from Steklov Institute of Mathematics. The lists of my publications contains about 80 items. In 1998 I was an invited speaker at the International Congress of Mathematicians in Berlin (45-minute sectional address).

   
Main publications:
  1. A. Pukhlikov, Birationally Rigid Varieties, Mathematical Surveys and Monographs, 190, Amer. Math. Soc., Providence, RI, 2013 , 367 pp.  crossref
  2. A. V. Pukhlikov, “Birationally rigid Fano fibrations”, Izv. Math., 64:3 (2000), 563–581  mathnet  crossref  crossref  mathscinet  zmath  isi  scopus
  3. A. V. Pukhlikov, “Birationally rigid Fano double hypersurfaces”, Sb. Math., 191:6 (2000), 883–908  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus
  4. A. V. Pukhlikov, “Birational automorphisms of Fano hypersurfaces”, Invent. Math., 134:2 (1998), 401–426  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
  5. A. V. Pukhlikov, “Birational automorphisms of algebraic threefolds with a pencil of Del Pezzo surfaces”, Izv. Math., 62:1 (1998), 115–155  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus

http://www.mathnet.ru/eng/person8590
List of publications on Google Scholar
http://zbmath.org/authors/?q=ai:pukhlikov.aleksandr-v
https://mathscinet.ams.org/mathscinet/MRAuthorID/231949
http://elibrary.ru/author_items.asp?authorid=4808
https://www.researchgate.net/profile/Aleksandr_Pukhlikov

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


1. D. Evans, A. V. Pukhlikov, “Birationally rigid complete intersections of high codimension”, Izv. RAN. Ser. Mat. (to appear)  mathnet

   2018
2. A. V. Pukhlikov, “Automorphisms of certain affine complements in projective space”, Sb. Math., 209:2 (2018), 276–289  mathnet  crossref  crossref  adsnasa  isi (cited: 1)  elib  scopus
3. Aleksandr V. Pukhlikov, “Canonical and log canonical thresholds of Fano complete intersections”, Eur. J. Math., 4:1 (2018), 381–398  mathnet  crossref  isi  scopus

   2017
4. A. V. Pukhlikov, “Birational geometry of algebraic varieties fibred into Fano double spaces”, Izv. Math., 81:3 (2017), 618–644  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 3)  elib  scopus
5. A. V. Pukhlikov, “Factorial hypersurfaces”, Proc. Steklov Inst. Math., 299 (2017), 205–218  mathnet  crossref  crossref  isi  elib  scopus
6. A. V. Pukhlikov, “The $4n^2$-inequality for complete intersection singularities”, Arnold Math. J., 3:2 (2017), 187–196  crossref  elib  scopus (cited: 1)
7. D. Evans, A. V. Pukhlikov, “Birationally rigid complete intersections of codimension two”, Bull. Korean Math. Soc., 54:5 (2017), 1627–1654  scopus (cited: 1)

   2016
8. Thomas Eckl, Aleksandr Pukhlikov, “On the global log canonical threshold of Fano complete intersections”, Eur. J. Math., 2:1 (2016), 291–303  mathnet  crossref  isi (cited: 2)  scopus (cited: 2)
9. Aleksandr V. Pukhlikov, “Birational geometry of Fano hypersurfaces of index two”, Math. Ann., 366:1 (2016), 721–782  mathnet (cited: 1)  crossref  isi (cited: 2)  scopus (cited: 3)
10. Aleksandr V. Pukhlikov, “The Gabrielov-Khovanskii problem for polynomials”, Arnold Math. J., 2:1 (2016), 29–68  mathnet  crossref  scopus

   2015
11. A. V. Pukhlikov, “Two Inequalities for a Sequence of Blow-Ups”, Math. Notes, 97:6 (2015), 970–973  mathnet  crossref  crossref  mathscinet  isi  elib  scopus
12. A. V. Pukhlikov, “Birationally rigid Fano fibre spaces. II”, Izv. Math., 79:4 (2015), 809–837  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 2)  elib  elib  scopus (cited: 1)

   2014
13. Th. Eckl, A. Pukhlikov, “On the locus of nonrigid hypersurfaces”, Automorphisms in Birational and Affine Geometry (Levico Terme, Italy, October 2012), Springer Proceedings in Mathematics & Statistics, 79, Springer, 2014, 121–139  mathnet  crossref  mathscinet  zmath  scopus (cited: 7)

   2015
14. A. V. Pukhlikov, “Birational Geometry of Higher-Dimensional Fano Varieties”, Proc. Steklov Inst. Math., 288, suppl. 2 (2015), S1–S150  mathnet  mathnet  crossref  crossref  crossref  isi  elib  scopus (cited: 1)

   2014
15. A. V. Pukhlikov, “Birationally rigid Fano complete intersections. II”, J. Reine Angew. Math., 2014:688 (2014), 209–218  mathnet  crossref  mathscinet  zmath  isi (cited: 3)  scopus (cited: 2)

   2013
16. A. V. Pukhlikov, “Birationally rigid complete intersections of quadrics and cubics”, Izv. Math., 77:4 (2013), 795–845  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 4)  elib  elib  scopus (cited: 5)
17. A. Pukhlikov, Birationally Rigid Varieties, Mathematical Surveys and Monographs, 190, Amer. Math. Soc., Providence, RI, 2013 , 367 pp.  crossref
18. A. V. Pukhlikov, “Birational rigidity of Fano complete intersections”, Dokl. Math., 87:1 (2013), 34–35  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus

   2012
19. A. V. Pukhlikov, “$K$-Trivial Structures on Fano Complete Intersections”, Math. Notes, 91:4 (2012), 568–574  mathnet  crossref  crossref  mathscinet  isi (cited: 1)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 1)
20. A. V. Pukhlikov, “On the multiplicity of solutions of a system of algebraic equations”, Proc. Steklov Inst. Math., 276 (2012), 234–249  mathnet  crossref  mathscinet  isi (cited: 2)  elib (cited: 2)  elib (cited: 2)  scopus (cited: 3)

   2010
21. A. V. Pukhlikov, “Birational geometry of Fano double spaces of index two”, Izv. Math., 74:5 (2010), 925–991  mathnet  crossref  crossref  mathscinet  zmath  zmath  adsnasa  isi (cited: 5)  elib (cited: 4)  elib (cited: 4)  scopus (cited: 5)
22. A. V. Pukhlikov, “Existence of the Kähler–Einstein Metric on Certain Fano Complete Intersections”, Math. Notes, 88:4 (2010), 552–558  mathnet  crossref  crossref  mathscinet  isi (cited: 2)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 2)
23. A. V. Pukhlikov, “Birationally rigid varieties. II. Fano fibre spaces”, Russian Math. Surveys, 65:6 (2010), 1083–1171  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus

   2009
24. A. V. Pukhlikov, “Rationality problem and birational rigidity”, Cohomological and geometric approaches to rationality problems, Progr. Math., 282, Birkhäuser, Boston, 2009, 275–311  crossref  mathscinet
25. A. V. Pukhlikov, “Birational geometry of algebraic varieties with a pencil of Fano cyclic covers”, Pure Appl. Math. Q., 5:2, Special Issue: In honor of Friedrich Herzebruch (2009), 641–700  crossref  mathscinet (cited: 6)  zmath  isi (cited: 8)  elib (cited: 7)  scopus (cited: 8)
26. A. V. Pukhlikov, “Singularities of Algebraic Subvarieties and Problems of Birational Geometry”, Proc. Steklov Inst. Math., 267 (2009), 235–247  mathnet  crossref  mathscinet  zmath  zmath  isi  elib  scopus (cited: 1)
27. A. V. Pukhlikov, “Birational Geometry of Singular Fano Varieties”, Proc. Steklov Inst. Math., 264 (2009), 159–177  mathnet  crossref  mathscinet  isi (cited: 5)  elib (cited: 3)  elib (cited: 3)  scopus (cited: 5)
28. F. A. Bogomolov, Vik. S. Kulikov, Yu. I. Manin, V. V. Nikulin, D. O. Orlov, A. N. Parshin, Yu. G. Prokhorov, A. V. Pukhlikov, M. Reid, I. R. Shafarevich, V. V. Shokurov, “Vasilii Alekseevich Iskovskikh (obituary)”, Russian Math. Surveys, 64:5 (2009), 939–946  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib

   2010
29. A. V. Pukhlikov, “On the self-intersection of a movable linear system”, J. Math. Sci., 164:1 (2010), 119–130  mathnet  crossref  mathscinet  elib  scopus

   2008
30. A. V. Pukhlikov, “Birational geometry of Fano double covers”, Sb. Math., 199:8 (2008), 1225–1250  mathnet  crossref  crossref  mathscinet  isi (cited: 2)  elib (cited: 2)  elib (cited: 2)  scopus (cited: 2)

   2007
31. A. V. Pukhlikov, “Explicit examples of birationally rigid Fano varieties”, Mosc. Math. J., 7:3 (2007), 543–560  mathnet (cited: 1)  mathscinet (cited: 1)  zmath  isi
32. A. V. Pukhlikov, “Birationally rigid varieties. I. Fano varieties”, Russian Math. Surveys, 62:5 (2007), 857–942  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 12)  elib (cited: 8)  elib (cited: 8)  scopus (cited: 8)
33. A. V. Pukhlikov, “Kvadratichnye metody v teorii optimalnogo upravleniya i teorii sistem”, Nelineinaya dinamika i upravlenie, 5, Fizmatlit, M., 2007, 69–98

   2006
34. A. V. Pukhlikov, “Birational geometry of algebraic varieties with a pencil of Fano complete intersections”, Manuscripta Math., 121:4 (2006), 491–526  crossref  mathscinet (cited: 10)  zmath  isi (cited: 12)  elib (cited: 14)  scopus (cited: 13)
35. A. V. Pukhlikov, “Birationally rigid varieties with a pencil of Fano double covers. III”, Sb. Math., 197:3 (2006), 335–368  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 5)  elib (cited: 7)  elib (cited: 7)  scopus (cited: 6)

   2005
36. A. V. Pukhlikov, “Geometry of discontinuous systems near a manifold of singularities of third order”, Differ. Equ., 41:12 (2005), 1710–1716  mathnet  crossref  mathscinet  zmath  isi  elib  elib  scopus
37. A. V. Pukhlikov, “Biratsionalno zhestkie pryamye proizvedeniya Fano”, Dokl. RAN, 401:2 (2005), 163–165  mathnet  mathscinet
38. A. V. Pukhlikov, “Birational geometry of Fano direct products”, Izv. Math., 69:6 (2005), 1225–1255  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 28)  elib (cited: 17)  elib (cited: 17)  scopus (cited: 22)

   2004
39. A. V. Pukhlikov, “Birationally rigid Fano varieties”, The Fano Conference, Univ. Torino, Turin, 2004, 659–681  mathscinet (cited: 8)  zmath
40. A. V. Pukhlikov, “Optimal control of distributions”, Nonlinear dynamics and control. 2, Comput. Math. Model., 15:3 (2004), 223–256  crossref  mathscinet  zmath

   2007
41. A. V. Pukhlikov, “Integral representations in the theory of controlled systems”, Nonlinear dynamics and control, Comput. Math. Model., 18, no. 4, 2007, 344–368  crossref  mathscinet  zmath  scopus
42. A. V. Pukhlikov, “Fano direct products as rationally connected fibrations”, J. Math. Sci., 140:2 (2007), 303–320  mathnet  crossref  mathscinet  zmath  elib  elib  scopus

   2004
43. A. V. Pukhlikov, “Birationally rigid varieties with a pencil of Fano double covers. II”, Sb. Math., 195:11 (2004), 1665–1702  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 12)  elib (cited: 7)  scopus (cited: 8)
44. A. V. Pukhlikov, “Birationally rigid varieties with a pencil of double Fano covers. I”, Sb. Math., 195:7 (2004), 1039–1071  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 7)  elib (cited: 7)  scopus (cited: 4)

   2003
45. A. V. Pukhlikov, “Birationally rigid singular Fano hypersurfaces”, Algebraic geometry, 12, J. Math. Sci. (N. Y.), 115:3 (2003), 2428–2436  crossref  mathscinet (cited: 5)  zmath
46. A. V. Pukhlikov, “Birationally rigid iterated Fano double covers”, Izv. Math., 67:3 (2003), 555–596  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 14)  elib (cited: 9)  scopus (cited: 11)

   2002
47. A. V. Pukhlikov, “Birational geometry of higher-dimensional Fano hypersurfaces”, Dokl. Akad. Nauk, 385:1 (2002), 28–30  mathnet  mathscinet (cited: 19)  zmath
48. A. V. Pukhlikov, “Discontinuous dynamical systems in optimal control theory”, Nonlinear dynamics and control, Comput. Math. Model., 13:1 (2002), 81–105  crossref  mathscinet  elib  scopus
49. A. V. Pukhlikov, “Birational Automorphisms of Algebraic Varieties with a Pencil of Fano Double Covers”, Funct. Anal. Appl., 36:1 (2002), 74–75  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 1)  elib  scopus (cited: 1)
50. A. V. Pukhlikov, “Birationally rigid Fano hypersurfaces”, Izv. Math., 66:6 (2002), 1243–1269  mathnet  crossref  crossref  mathscinet  zmath
51. A. V. Pukhlikov, “Birational automorphisms of Fano hypersurfaces with singularities”, Russian Math. Surveys, 57:1 (2002), 157–158  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 1)  elib  scopus
52. F. Campana, Th. Peternell, A. V. Pukhlikov, “Generalized Tsen's theorem and rationally connected Fano fibrations”, Sb. Math., 193:10 (2002), 1443–1468  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus
53. A. V. Pukhlikov, “Birationally rigid Fano hypersurfaces with isolated singularities”, Sb. Math., 193:3 (2002), 445–471  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 13)  elib (cited: 12)  scopus (cited: 12)

   2001
54. F. Kampana, T. Peternell, A. V. Pukhlikov, “Obobschennaya teorema Tzena i ratsionalno svyaznye mnogoobraziya”, Dokl. RAN, 381:6 (2001), 742–744  mathnet  mathscinet  zmath
55. A. V. Pukhlikov, “Birationally rigid Fano complete intersections”, J. Reine Angew. Math., 541 (2001), 55–79  crossref  mathscinet (cited: 27)  zmath  isi (cited: 35)  elib (cited: 37)  scopus (cited: 36)
56. A. V. Pukhlikov, “Singularities in discontinuous dynamical systems”, Dokl. Akad. Nauk, 378:4 (2001), 456–458  mathnet  mathscinet
57. A. V. Pukhlikov, “The geometry of discontinuous systems near a hyperbolic singular point of a sliding field”, Differ. Equ., 37:3 (2001), 377–400  mathnet  crossref  mathscinet  zmath  isi  elib  scopus

   1997
58. A. V. Pukhlikov, “Birational automorphisms of double spaces with singularities”, J. Math. Sci. (New York), 85:4 (1997), 2128–2141  mathnet  crossref  mathscinet  zmath  scopus (cited: 10)

   1996
59. V. A. Iskovskikh, A. V. Pukhlikov, “Birational automorphisms of multidimensional algebraic manifolds”, J. Math. Sci., 82:4 (1996), 3528–3613  mathnet  crossref  mathscinet  zmath  scopus (cited: 33)

   2000
60. A. Corti, A. Pukhlikov, M. Reid, “Fano 3-fold hypersurfaces”, Explicit birational geometry of 3-folds, London Math. Soc. Lecture Note Ser., 281, Cambridge Univ. Press, Cambridge, 2000, 175–258  mathscinet (cited: 62)  zmath
61. A. V. Pukhlikov, “Essentials of the method of maximal singularities”, Explicit birational geometry of 3-folds, London Math. Soc. Lecture Note Ser., 281, Cambridge Univ. Press, Cambridge, 2000, 73–100  mathscinet (cited: 40)  zmath  isi (cited: 1)
62. A. V. Pukhlikov, “Biratsionalnye avtomorfizmy polnykh peresechenii Fano”, Doklady Akademii nauk, 374:2 (2000), 160–163  mathnet  mathscinet  zmath
63. A. V. Pukhlikov, “A Gauss–Ostrogradskii theorem for integral transforms over the Euler characteristic”, Integral Transform. Spec. Funct., 9:4 (2000), 299–312  crossref  mathscinet  zmath  isi  scopus (cited: 1)
64. A. V. Pukhlikov, “Birationally rigid Fano fibrations”, Izv. Math., 64:3 (2000), 563–581  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 9)  scopus (cited: 12)
65. A. V. Pukhlikov, “Fiber-wise birational correspondences”, Math. Notes, 68:1 (2000), 103–112  mathnet  crossref  mathscinet  zmath  isi (cited: 3)  elib  scopus (cited: 3)
66. A. V. Pukhlikov, “Birational automorphisms of algebraic varieties with a pencil of double quadrics”, Math. Notes, 67:2 (2000), 192–199  mathnet  crossref  crossref  mathscinet  zmath  isi  elib (cited: 2)  scopus (cited: 2)
67. A. V. Pukhlikov, “Birationally rigid Fano double hypersurfaces”, Sb. Math., 191:6 (2000), 883–908  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 15)  elib (cited: 25)  scopus (cited: 14)

   1999
68. A. V. Pukhlikov, “Geometry of discontinuous systems near an elliptic singularity”, Differential Equations, 35:11 (1999), 1516–1529 (2000)  mathnet  mathscinet  zmath  isi  elib  scopus
69. A. V. Pukhlikov, “Structurally stable singularities of discontinuous dynamical systems”, Differential Equations, 35:5 (1999), 675–682  mathnet  mathscinet  zmath  isi  elib (cited: 1)  scopus (cited: 1)
70. A. V. Pukhlikov, “Certain examples of birationally rigid varieties with a pencil of double quadrics”, Algebraic geometry, 9, J. Math. Sci. (New York), 94:1 (1999), 986–995  crossref  mathscinet (cited: 7)  zmath  scopus (cited: 7)
71. A. V. Pukhlikov, “Birational Automorphisms of Fano Double Covers”, Funct. Anal. Appl., 33:4 (1999), 313–314  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus
72. A. V. Pukhlikov, “Birationally rigid varieties with a sheaf of Fano hypersurfaces”, Russian Math. Surveys, 54:1 (1999), 260–261  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib (cited: 1)  scopus (cited: 1)
73. A. I. Kostrikin, V. S. Kulikov, Yu. I. Manin, V. V. Nikulin, A. N. Parshin, Yu. G. Prokhorov, A. V. Pukhlikov, M. Reid, A. N. Tyurin, I. R. Shafarevich, V. V. Shokurov, “Vasilii Alekseevich Iskovskikh (on his 60th birthday)”, Russian Math. Surveys, 54:4 (1999), 863–868  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi

   1998
74. A. V. Pukhlikov, “Optimal bilinear systems on a plane”, Differential Equations, 34:11 (1998), 1516–1521 (1999)  mathnet  mathscinet  zmath  isi (cited: 4)  elib (cited: 5)  scopus (cited: 5)
75. A. V. Pukhlikov, “Birational automorphisms of three-dimensional algebraic varieties fibered by Del Pezzo surfaces”, Dokl. Akad. Nauk, 361:1 (1998), 14–16  mathnet  mathscinet  zmath  scopus
76. A. V. Pukhlikov, “The discrete maximum principle”, Dokl. Akad. Nauk, 360:6 (1998), 747–749  mathnet (cited: 1)  mathscinet  zmath  scopus (cited: 1)
77. A. V. Pukhlikov, “Birational automorphisms of Fano hypersurfaces”, Invent. Math., 134:2 (1998), 401–426  crossref  mathscinet (cited: 57)  zmath  adsnasa  isi (cited: 68)  elib (cited: 68)  scopus (cited: 68)
78. A. V. Pukhlikov, “Birational automorphisms of higher-dimensional algebraic varieties”, Proceedings of the International Congress of Mathematicians, Vol. II (Berlin, 1998), Doc. Math., Extra Vol. II, 1998, 97–107 (electronic)  mathscinet (cited: 2)  zmath
79. A. V. Pukhlikov, “Birational automorphisms of algebraic threefolds with a pencil of Del Pezzo surfaces”, Izv. Math., 62:1 (1998), 115–155  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 30)  elib (cited: 2)  scopus (cited: 25)

   1997
80. A. V. Pukhlikov, “Integral transformations in the theory of controllable dynamic systems”, Dokl. Math., 55:2 (1997), 315–317  mathnet  mathscinet  zmath  elib  scopus
81. A. V. Pukhlikov, “Integral representations in the theory of discrete controllable systems”, Dokl. Math., 55:2 (1997), 312–314  mathnet  mathscinet  zmath  elib  scopus
82. A. V. Pukhlikov, “Birational automorphisms of algebraic threefolds fibred by cubic surfaces”, Russian Math. Surveys, 52:1 (1997), 230–231  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
83. A. V. Pukhlikov, Mat. Pros., 1, MCCME, Moscow, 1997, 85–89  mathnet

   1996
84. A. V. Pukhlikov, “Fredholm determinants and the Newton method in problems of the control of distributions”, Automat. Remote Control, 57:6 (1996), 814–818  mathnet  mathscinet  zmath  isi
85. A. V. Pukhlikov, “Singular regimes in problems of the control of distributions. I. Scalar controls”, Automat. Remote Control, 57:5 (1996), 634–643  mathnet  mathscinet  zmath  isi

   1995
86. A. V. Pukhlikov, “Degenerations of Hamiltonian structures in optimal control problems”, Differential Equations, 31:11 (1995), 1841–1847 (1996)  mathnet  mathscinet  zmath  isi
87. A. V. Pukhlikov, “Analytic representations in problems of the control of distributions”, Automat. Remote Control, 56:12 (1995), 1698–1708 (1996)  mathnet  mathscinet  zmath  isi
88. A. V. Pukhlikov, “Rational curves with prescribed branches”, Moscow Univ. Math. Bull., 50:1 (1995), 20–22  mathscinet  zmath
89. A. V. Pukhlikov, “Hamiltonian structures in optimal control theory”, J. Dynam. Control Systems, 1:3 (1995), 379–401  crossref  mathscinet (cited: 2)  zmath  elib (cited: 2)  scopus (cited: 4)
90. A. V. Pukhlikov, “Problems of the control of distributions in dynamical systems”, Automat. Remote Control, 56:4 (1995), 517–525  mathnet  mathscinet  zmath  isi
91. A. V. Pukhlikov, “A remark on the theorem of V. A. Iskovskikh and Yu. I. Manin on a three-dimensional quartic”, Proc. Steklov Inst. Math., 208 (1995), 244–254  mathnet  mathscinet  zmath

   1994
92. A. V. Pukhlikov, “Liouville's theorem in optimal control problems”, Differential Equations, 30:11 (1994), 1808–1814 (1995)  mathnet  mathscinet  zmath  isi (cited: 1)

   1993
93. A. G. Khovanskii, A. V. Pukhlikov, “Integral transforms based on Euler characteristic and their applications”, Integral Transform. Spec. Funct., 1:1 (1993), 19–26  crossref  mathscinet (cited: 5)
94. A. V. Pukhlikov, “Poisson's theorem in optimal control problems”, Differential Equations, 29:11 (1993), 1685–1690 (1994)  mathnet  mathscinet  zmath  isi (cited: 1)
95. A. I. Propoĭ, A. V. Pukhlikov, “Quadratic approximation in nonlinear extremal problems”, Phys. Dokl., 38:8 (1993), 320–322 (1994)  mathnet  mathscinet  zmath  adsnasa
96. V. A. Iskovskih, A. V. Pukhlikov, “Birational automorphisms of Fano varieties”, Geometry of complex projective varieties (Cetraro, 1990), Sem. Conf., 9, Mediterranean, Rende, 1993, 191–201  mathscinet  zmath
97. A. V. Pukhlikov, “Asymptotically periodic systems. II”, Autom. Remote Control, 54:10 (1993), 1493–1503  mathnet  mathscinet  zmath  isi
98. A. V. Pukhlikov, “Asymptotically periodic systems. I”, Autom. Remote Control, 54:5 (1993), 747–754  mathnet  mathscinet  zmath  isi
99. A. I. Propoǐ, A. V. Pukhlikov, “The stochastic Newton method in nonlinear extremal problems”, Autom. Remote Control, 54:4 (1993), 605–613  mathnet  mathscinet  zmath  isi (cited: 1)
100. A. V. Pukhlikov, A. G. Khovanskii, “Finitely additive measures of virtual polyhedra”, St. Petersburg Math. J., 4:2 (1993), 337–356  mathnet  mathscinet  zmath
101. 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

   1989
102. A. V. Pukhlikov, “Maximal singularities on the Fano variety $V_6^3$”, Moscow Univ. Math. Bull., 44:2 (1989), 70–75  mathscinet  zmath
103. A. V. Pukhlikov, “Birational automorphisms of a double space and double quadric”, Math. USSR-Izv., 32:1 (1989), 233–243  mathnet  crossref  mathscinet  zmath
104. A. V. Pukhlikov, “Birational automorphisms of a three-dimensional quartic with a quadratic singularity”, Math. USSR-Sb., 63:2 (1989), 457–482  mathnet  crossref  mathscinet  zmath

   1987
105. A. V. Pukhlikov, “Birational isomorphisms of four-dimensional quintics”, Invent. Math., 87:2 (1987), 303–329  crossref  mathscinet (cited: 31)  zmath  adsnasa  isi (cited: 34)  elib (cited: 28)  scopus (cited: 34)

   1986
106. A. V. Pukhlikov, “Birational automorphisms of four-dimensional quintics”, Moscow University Math. Bulletin, 1986, no. 2, 10–15  mathscinet  zmath

Presentations in Math-Net.Ru
1. Бирациональная геометрия особых гиперповерхностей Фано индекса два
A. V. Pukhlikov
Seminar of the Department of Algebra and of the Department of Algebraic Geometry (Shafarevich Seminar)
December 4, 2018 15:00
2. The $4n^2$-inequality for complete intersection singularities
A. V. Pukhlikov
Seminar of the Department of Algebra and of the Department of Algebraic Geometry (Shafarevich Seminar)
December 13, 2016 15:00
3. Бирациональная геометрия многообразий, расслоенных на двойные пространства Фано
A. V. Pukhlikov
Seminar of the Department of Algebra and of the Department of Algebraic Geometry (Shafarevich Seminar)
March 29, 2016 15:00
4. Бирационально жесткие расслоения Фано
A. V. Pukhlikov
Seminar of the Department of Algebra and of the Department of Algebraic Geometry (Shafarevich Seminar)
April 14, 2015 15:00
5. Бирационально жесткие расслоения Фано
Alexander Pukhlikov
Annual memorial conference dedicated to the memory of Andrei Nikolaevich Tyurin
October 28, 2014 11:40   
6. Бирациональная геометрия гиперповерхностей Фано индекса два
A. V. Pukhlikov
Seminar of the Department of Algebra and of the Department of Algebraic Geometry (Shafarevich Seminar)
April 15, 2014 15:00
7. Birational geometry of Fano hypersurfaces of index two
A. V. Pukhlikov
International conference "Geometry of Algebraic Varieties" dedicated to the memory of V. A. Iskovskikh
October 22, 2013 15:00   
8. Бирационально жесткие многомерные многообразия Фано
A. V. Pukhlikov
International conference dedicated to the 90th anniversary of academician Igor Rostislavovich Shafarevich
June 5, 2013 10:30   
9. Birationally rigid Fano complete intersections
A. V. Pukhlikov
Seminar of the Department of Algebra and of the Department of Algebraic Geometry (Shafarevich Seminar)
March 27, 2012 15:00
10. K-тривиальные структуры на полных пересечениях Фано
A. V. Pukhlikov
Seminar of the Department of Algebra
April 12, 2011 15:00
11. Birational geometry of Fano double spaces of index two
A. V. Pukhlikov
International conference "Geometry of Algebraic Varieties" dedicated to the memory of Vasily Alexeevich Iskovskikh
June 29, 2009 16:30   
12. Бирациональная геометрия двойных пространств индекса два
A. V. Pukhlikov
Seminar of the Department of Algebra
June 16, 2009 15:00
13. Бирационально жесткие многообразия
A. V. Pukhlikov
Seminar of the Department of Algebra
November 18, 2008 15:00

Books in Math-Net.Ru
  1. A. V. Pukhlikov, Birational Geometry of Higher-Dimensional Fano Varieties, Sovrem. Probl. Mat., 19, 2014, 174 с.
    http://mi.mathnet.ru/book1513

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