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Батырев Виктор Вадимович
| по годам | по типам | научные публикации | общий список |



   2019
1. В. В. Батырев, К. Шаллер, “Струнные $E$-функции канонических торических трехмерных многообразий Фано и их приложения”, Изв. РАН. Сер. матем., 83:4 (2019), 26–49  mathnet  crossref  mathscinet  zmath  adsnasa  isi  elib; V. V. Batyrev, K. Schaller, “Stringy $E$-functions of canonical toric Fano threefolds and their applications”, Izv. Math., 83:4 (2019), 676–697  crossref  mathscinet  zmath  isi  scopus 1

   2017
2. Victor Batyrev, The stringy Euler number of Calabi-Yau hypersurfaces in toric varieties and the Mavlyutov duality, 2017 (Published online) , 35 pp., arXiv: 1707.02602
3. V. Batyrev, K. Schaller, “Stringy Chern classes of singular toric varieties and their applications”, Commun.Num.Theor.Phys., 11 (2017), 1–40  crossref  mathscinet  zmath  scopus 4
4. V. Batyrev, G. Gagliardi, “On the algebraic stringy Euler number”, Proc. Amer. Math. Soc., 145 (2017), 1–13 (to appear)  crossref  mathscinet  isi  scopus

   2016
5. V. Batyrev, A. Moreau, Satellites of spherical subgroups, 2016 (Published online) , 39 pp., arXiv: 1610.07377

   2013
6. V. Batyrev, A. Moreau, “The arc space of horospherical varieties and motivic integration”, Compositio Mathematica, 149:8 (2013), 1327–1352  crossref  mathscinet  zmath  scopus 10
7. V. Batyrev, M. Kreuzer, “Conifold degenerations of Fano 3-folds as hypersurfaces in toric varieties”, Strings, gauge fields, and the geometry behind, World Sci. Publ., Hackensack, NJ, 2013, 187–212  mathscinet
8. V. Batyrev, J. Hofscheier, Lattice polytopes, finite abelian subgroups in $\operatorname{SL}(n)$ and coding theory, 2013 (Published online) , 18 pp., arXiv: 1309.5312  zmath

   2012
9. K. Altmann, V. Batyrev, Y. Karshon, “Toric geometry. Abstracts from the workshop held April 15–21, 2012.”, Oberwolfach Reports, 9:2 (2012), 1231–1306  crossref  mathscinet  zmath

   2011
10. V. Batyrev, M. Blume, “On generalisations of Losev-Manin moduli spaces for classical root systems”, Pure Appl. Math. Q., 7:4 (2011), 1053–1084  crossref  mathscinet  zmath 9
11. V. Batyrev, M. Blume, “The functor of toric varieties associated with Weyl chambers and Losev-Manin moduli spaces”, The Tohoku Mathematical Journal. Second Series, 63:4 (2011), 581–604  crossref  mathscinet  zmath  scopus 13

   2010
12. Victor Batyrev, Dorothee Juny, “Classification of Gorenstein toric Del Pezzo varieties in arbitrary dimension”, Mosc. Math. J., 10:2 (2010), 285–316  mathnet  crossref  mathscinet  isi 12
13. V. Batyrev, M. Kreuzer, “Constructing new Calabi-Yau 3-folds and their mirrors via conifold transitions”, Advances in Theoretical and Mathematical Physics, 14:3 (2010), 879–898  crossref  mathscinet  zmath  scopus 22
14. V. Batyrev, J. Hofscheier, A generalization of a theorem of G. K. White, 2010 (Published online) , 12 pp., arXiv: 1004.3411

   2009
15. K. Altmann, V. Batyrev, Y. Karshon, “Toric geometry. Abstracts from the workshop held January 4th – January 10th, 2009.”, Oberwolfach Reports, 6:1 (2009), 5–74  crossref  mathscinet  zmath

   2008
16. V. Batyrev, F. Haddad, “On the Geometry of $\operatorname{SL}(2)$-Equivariant Flips”, Mosc. Math. J., 8:4 (2008), 621–646  mathnet  crossref  mathscinet  zmath  isi 8
17. V. Batyrev, B. Nill, “Combinatorial aspects of mirror symmetry”, Integer points in polyhedra—geometry, number theory, representation theory, algebra, optimization, statistics, Contemp. Math., 452, Amer. Math. Soc., Providence, RI, 2008, 35–66  crossref  mathscinet  zmath 31

   2007
18. V. Batyrev, B. Nill, “Multiples of lattice polytopes without interior lattice points”, Mosc. Math. J., 7:2 (2007), 195–207  mathnet  crossref  mathscinet  zmath  isi 37

   2006
19. Victor Batyrev, “Lattice polytopes with a given $h^*$-polynomial”, Algebraic and geometric combinatorics, 423, Amer. Math. Soc., Providence, RI, 2006, 1–10 (to appear)  mathnet  crossref  mathscinet  zmath
20. V. Batyrev, M. Kreuzer, “Integral cohomology and mirror symmetry for Calabi-Yau 3-folds”, Mirror symmetry. V, AMS/IP Stud. Adv. Math., 38, Amer. Math. Soc., Providence, RI, 2006, 255–270  crossref  mathscinet  zmath 4
21. K. Altmann, V. Batyrev, B. Tessier, “Report 5/2006: Convex and Algebraic Geometry (January 29th – February 4th, 2006)”, Oberwolfach Reports, 3:1 (2006), 253–316  crossref  mathscinet  zmath 1

   2004
22. Victor Batyrev, “Toric degenerations of Fano varieties and constructing mirror manifolds”, The Fano Conference, Univ. Torino, Turin, 2004, 109–122  mathscinet  zmath
23. V. Batyrev, O. Popov, “The Cox ring of a del Pezzo surface”, Arithmetic of higher-dimensional algebraic varieties (Palo Alto, CA, 2002), Progr. Math., 226, Birkhäuser Boston, Boston, MA, 2004, 85–103  crossref  mathscinet  zmath 33

   2003
24. V. Batyrev, E. Materov, “Mixed toric residues and Calabi-Yau complete intersections”, Calabi-Yau varieties and mirror symmetry (Toronto, ON, 2001), Fields Inst. Commun., 38, Amer. Math. Soc., Providence, RI, 2003, 3–26  mathscinet  zmath

   2002
25. V. V. Batyrev, E. N. Materov, “Toric residues and mirror symmetry”, Mosc. Math. J., 2:3 (2002), 435–475  mathnet  crossref  mathscinet  zmath  isi  elib 16

   2001
26. В. В. Батырев, Ю. Чинкель, “Высотные дзета-функции торических многообразий”, Алгебраическая геометрия – 5, Итоги науки и техн. Сер. Соврем. мат. и ее прил. Темат. обз., 34, ВИНИТИ, М., 2001, 164–194  mathnet  mathscinet  zmath; V. V. Batyrev, Yu. Tschinkel, “Height zeta functions of toric varieties”, J. Math. Sci., 82:1 (1996), 3220–3239  crossref  mathscinet  zmath 26

   2000
27. Victor Batyrev, “Stringy Hodge numbers and Virasoro algebra”, Mathematical Research Letters, 7:2-3 (2000), 155–164  mathscinet  zmath
28. V. Batyrev, I. Ciocan-Fontanine, B. Kim, D. van Straten, “Mirror symmetry and toric degenerations of partial flag manifolds”, Acta Mathematica, 184:1 (2000), 1–39  crossref  mathscinet  zmath  scopus 68
29. Victor Batyrev, Canonical abelianization of finite group actions, 2000 (Published online) , 4 pp., arXiv: math/0009043

   1999
30. V. Batyrev, E. Selivanova, “Einstein-Kähler metrics on symmetric toric Fano manifolds”, J. Reine Angew. Math., 512 (1999), 225–236  crossref  mathscinet  zmath  scopus 20
31. Victor Batyrev, “Non-Archimedean integrals and stringy Euler numbers of log-terminal pairs”, Journal of the European Mathematical Society, 1:1 (1999), 5–33  crossref  mathscinet 57
32. Victor Batyrev, “Birational Calabi-Yau $n$-folds have equal Betti numbers”, New trends in algebraic geometry (Warwick, 1996), London Math. Soc. Lecture Note Ser., 264, Cambridge Univ. Press, Cambridge, 1999, 1–11  mathscinet  zmath

   1998
33. Victor Batyrev, “Mirror symmetry and toric geometry”, Documenta Mathematica, 1998, Proceedings of the International Congress of Mathematicians, Vol. II (Berlin, 1998), 239–248  mathscinet  zmath
34. V. Batyrev, Ju. Tschinkel, “Manin's conjecture for toric varieties”, Journal of Algebraic Geometry, 7:1 (1998), 15–53  mathscinet  zmath
35. Victor Batyrev, “Stringy Hodge numbers of varieties with Gorenstein canonical singularities”, Integrable systems and algebraic geometry (Kobe/Kyoto, 1997), World Sci. Publ., River Edge, NJ, 1998, 1–32  mathscinet  zmath
36. V. Batyrev, I. Ciocan-Fontanine, B. Kim, D. van Straten, “Conifold transitions and mirror symmetry for Calabi-Yau complete intersections in Grassmannians”, Nuclear Phys. B, 514:3 (1998), 640–666  crossref  mathscinet  zmath  adsnasa  scopus 62
37. V. Batyrev, Yu. Tschinkel, “Tamagawa numbers of polarized algebraic varieties”, Nombre et répartition de points de hauteur bornée (Paris, 1996), Astérisque, 251, Soc. Math. France, 1998, 299–340  mathscinet  zmath

   1997
38. V. Batyrev, L. Borisov, “Dual cones and mirror symmetry for generalized Calabi-Yau manifolds”, Mirror symmetry, II, Amer. Math. Soc., Providence, RI, 1997, 71–86  mathscinet

   1996
39. V. Batyrev, Yu. Tschinkel, “Rational points on some Fano cubic bundles”, C. R. Acad. Sci. Paris Sér. I Math., 323:1 (1996), 41–46  mathscinet  zmath
40. V. Batyrev, D. Dais, “Strong McKay correspondence, string-theoretic Hodge numbers and mirror symmetry”, Topology, 35:4 (1996), 901–929  crossref  mathscinet  zmath  scopus 79
41. V. Batyrev, L. Borisov, “Mirror duality and string-theoretic Hodge numbers”, Invent. Math., 126:1 (1996), 183–203  crossref  mathscinet  zmath  adsnasa  scopus 62
42. V. Batyrev, L. Borisov, “On Calabi-Yau complete intersections in toric varieties”, Higher-dimensional complex varieties (Trento, 1994), de Gruyter, Berlin, 1996, 39–65  mathscinet  zmath
43. V. Batyrev, Yu. Tschinkel, “Height zeta functions of toric varieties”, Journal of Mathematical Sciences, 82:1 (1996), 3220–3239  crossref  mathscinet  zmath  scopus 26

   1995
44. V. Batyrev, D. van Straten, “Generalized hypergeometric functions and rational curves on Calabi-Yau complete intersections in toric varieties”, Comm. Math. Phys., 168:3 (1995), 493–533  crossref  mathscinet  zmath  adsnasa  scopus 69
45. V. Batyrev, Yu. Tschinkel, “Rational points on toric varieties”, Number theory (Halifax, NS, 1994), CMS Conf. Proc., 15, Amer. Math. Soc., Providence, RI, 1995, 39–48  mathscinet  zmath
46. V. Batyrev, Yu. Tschinkel, “Rational points of bounded height on compactifications of anisotropic tori”, Internat. Math. Res. Notices, 1995, no. 12, 591–635  crossref  mathscinet  zmath  scopus 31

   1994
47. Victor Batyrev, “Dual polyhedra and mirror symmetry for Calabi-Yau hypersurfaces in toric varieties”, Journal of Algebraic Geometry, 3:3 (1994), 493–535  mathscinet  zmath
48. V. Batyrev, D. Cox, “On the Hodge structure of projective hypersurfaces in toric varieties”, Duke Math. J., 75:2 (1994), 293–338  crossref  mathscinet  zmath  scopus 96

   1993
49. Victor Batyrev, “Variations of the mixed Hodge structure of affine hypersurfaces in algebraic tori”, Duke Math. J., 169 (1993), 349–409  mathscinet
50. Victor Batyrev, “Quantum cohomology rings of toric manifolds”, Journées de Géométrie Algébrique d'Orsay (Orsay, 1992), Astérisque, 218, Soc. Math. France, 1993, 9–34  mathscinet  zmath

   1992
51. Victor Batyrev, “The cone of effective divisors of threefolds”, Proceedings of the International Conference on Algebra, Part 3 (Novosibirsk, 1989), Contemp. Math., 131, Amer. Math. Soc., Providence, RI, 1992, 337–352  mathscinet

   1991
52. Victor Batyrev, “On the classification of smooth projective toric varieties”, The Tohoku Mathematical Journal. Second Series, 43:4 (1991), 569–585  mathscinet  zmath

   1990
53. V. Batyrev, Ju. Manin, “Sur le nombre des points rationnels de hauteur borné des variétés algébriques”, Math. Ann., 286:1-3 (1990), 27–43  crossref  mathscinet  zmath  scopus 100

   1986
54. Батырев В.В., Мельников Д.А., “Теорема о непродолжимости торических многообразий”, Вестник Московского Университета, серия мат. и мех., 1986, № 3, 20–24  mathnet  mathscinet  mathscinet  zmath

   1985
55. В. В. Батырев, “О некоторых численных характеристиках многомерных многообразий Фано”, Изв. АН СССР. Сер. матем., 49:2 (1985), 445–459  mathnet  mathscinet  zmath; V. V. Batyrev, “On some numerical characteristics of multidimensional Fano varieties”, Math. USSR-Izv., 26:2 (1986), 423–435  crossref  mathscinet  zmath 1

   1982
56. Батырев В.В., “Ограниченность степени многомерных торических многообразий Фано”, Вестник Московского Университета, серия мат. и мех., 1982, № 1, 22–27  mathnet  mathscinet  mathscinet  zmath 2

   1981
57. В. В. Батырев, “Трехмерные торические многообразия Фано”, Изв. АН СССР. Сер. матем., 45:4 (1981), 704–717  mathnet  mathscinet  zmath; V. V. Batyrev, “Toroidal Fano 3-folds”, Math. USSR-Izv., 19:1 (1982), 13–25  crossref  mathscinet  zmath 35
 
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