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Nikulin Viacheslav Valentinovich
(full list of publications)
| by years | scientific publications | by types |


1. V. V. Nikulin, “Classification of Picard lattices of K3-surfaces”, Izv. RAN. Ser. Mat. (to appear)  mathnet

   2018
2. Valery Gritsenko, Viacheslav V. Nikulin, “Lorentzian Kac–Moody algebras with Weyl groups of 2-reflections”, Proceedings of London Mathematical Society, 116:3 (2018), 485–533  mathnet  crossref  isi  scopus
3. Viacheslav V. Nikulin, Classification of degenerations and Picard lattices of Kahlerian K3 surfaces with small finite symplectic automorphism groups, 2018 , 39 pp., arXiv: 1804.00991

   2017
4. Valery Gritsenko, Viacheslav V. Nikulin, Examples of lattice-polarized K3 surfaces with automorphic discriminant, and Lorentzian Kac–Moody algebras, 2017 , 15 pp., arXiv: 1702.07551
5. V. V. Nikulin, “Degenerations of Kählerian K3 surfaces with finite symplectic automorphism groups. III”, Izv. Math., 81:5 (2017), 985–1029  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  scopus
6. Viacheslav V. Nikulin, Classification of Picard lattices of K3 surfaces, 2017 , 68 pp., arXiv: 1707.05677
7. V. A. Gritsenko, V. V. Nikulin, “Examples of lattice-polarized K3 surfaces with automorphic discriminant, and Lorentzian Kac–Moody algebras”, Trans. Moscow Math. Soc., 78 (2017), 75–83  mathnet  crossref  scopus

   2016
8. V. V. Nikulin, “Degenerations of Kählerian K3 surfaces with finite symplectic automorphism groups. II”, Izv. Math., 80:2 (2016), 359–402  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 1)  elib  elib  scopus
9. Valery Gritsenko, Viacheslav V. Nikulin, Lorentzian Kac–Moody algebras with Weyl groups of 2-reflection, 2016 , 73 pp., arXiv: 1602.08359
10. Viacheslav V. Nikulin, “Kählerian K3 surfaces and Niemeier lattices, II”, Adv. Stud. Pure Math., 69, 2016, 421–471  mathnet  isi (cited: 1)

   2015
11. V. V. Nikulin, Degenerations of Kahlerian K3 surfaces with finite symplectic automorphism groups, II, 2015 , 55 pp., arXiv: 1504.00326v4
12. V. V. Nikulin, “Degenerations of Kählerian K3 surfaces with finite symplectic automorphism groups”, Izv. Math., 79:4 (2015), 740–794  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 3)  elib (cited: 1)  elib (cited: 1)  scopus
13. V. V. Nikulin, “Degenerations of Kahlerian K3 surfaces with finite symplectic automorphism groups.”, Conference on K3 surfaces and related topics (KIAS, Seoul, Korea, 16–20 November), 2015 , 1 pp. http://home.kias.re.kr/MKG/h/K3surfaces/  mathscinet

   2014
14. V. V. Nikulin, “Elliptic fibrations on K3 surfaces”, Proc. Edinb. Math. Soc. (2), 57:1 (2014), 253–267  mathnet  crossref  mathscinet (cited: 1)  zmath  isi  scopus
15. V. V. Nikulin, Degenerations of Kahlerian K3 surfaces with finite symplectic automorphism groups, 2014 , 70 pp., arXiv: 1403.6061v3
16. V. V. Nikulin, “Kahlerian K3 surfaces and Niemeier lattices”, Workshop: Automorphic forms, Lie algebras and String theory (Lille University II, March 3–6), Lille, France, 2014 , 28 pp. http://www.ihes.fr/~vanhove/Lille2014/index.html
17. V. V. Nikulin, “Degenerations of Kahlerian K3 surfaces with finite symplectic automorphism groups”, Conference: Moduli spaces of real and complex varieties (Angers University, June 2–6), Angers, France, 2014 , 1 pp. http://www.math.univ-angers.fr/~mangolte/Angers-2014-abstracts.pdf

   2013
18. V. V. Nikulin, “Kählerian K3 surfaces and Niemeier lattices. I”, Izv. Math., 77:5 (2013), 954–997  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 8)  elib  scopus (cited: 5)
19. V. V. Nikulin, “Kahlerian K3 surfaces and Niemeier lattices”, The 6th MSJ-SI-Development of Moduli Theory, Conference dedicated to 60th birthday of Mukai (Kyoto, RIMS, 17–21 June 2013), Research Institute of Mathematical Sciences (RIMS), Kyoto University, Japan, 2013, 1  mathscinet
20. V. V. Nikulin, “Kahlerian K3 surfaces and Niemeier lattices”, Project: Mock modular forms, Moonshine and String Theory, 2013 (New York State, USA, 25 September 2013), Simons Center for Geomery and Physics, Stony Brook University, 2013, 1–1

   2011
21. V. V. Nikulin, “The transition constant for arithmetic hyperbolic reflection groups”, Izv. Math., 75:5 (2011), 971–1005  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 2)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 1)
22. Viacheslav V. Nikulin, “Self-correspondences of K3 surfaces via moduli of sheaves and arithmetic hyperbolic reflection groups”, Proc. Steklov Inst. Math., 273 (2011), 229–237  mathnet  crossref  mathscinet  zmath  isi (cited: 1)  elib

   2009
23. V. V. Nikulin, “On ground fields of arithmetic hyperbolic reflection groups”, Groups and symmetries, CRM Proc. Lecture Notes, 47, Amer. Math. Soc., Providence, RI, 2009, 299–326  crossref  mathscinet (cited: 6)  zmath  isi (cited: 3)
24. V. V. Nikulin, “On ground fields of arithmetic hyperbolic reflection groups. III”, J. Lond. Math. Soc. (2), 79:3 (2009), 738–756  crossref  mathscinet (cited: 5)  zmath  isi (cited: 3)  scopus (cited: 2)
25. V. V. Nikulin, “Self-correspondences of $K3$ surfaces via moduli of sheaves”, Algebra, arithmetic, and geometry, in honor of Yu. I. Manin, Vol. II, Progr. Math., 270, Birkhäuser Boston Inc., Boston, MA, 2009, 439–464  mathscinet (cited: 2)  zmath  adsnasa

   2008
26. V. V. Nikulin, Self-correspondences of K3 surfaces via moduli of sheaves and arithmetic hyperbolic reflection groups, 2008 , arXiv: 0810.2945  adsnasa
27. V. V. Nikulin, “On Ground Fields of Arithmetic Hyperbolic Reflection Groups. II”, Mosc. Math. J., 8:4 (2008), 789–812  mathnet (cited: 3)  mathscinet (cited: 3)  zmath  isi (cited: 3)
28. C. G. Madonna, V. V. Nikulin, “Explicit correspondences of a K3 surface with itself”, Izv. Math., 72:3 (2008), 497–508  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 3)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 2)
29. V. V. Nikulin, “On the connected components of moduli of real polarized $\mathrm K3$-surfaces”, Izv. Math., 72:1 (2008), 91–111  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 4)  elib  scopus (cited: 1)

   2007
30. V. V. Nikulin, S. Saito, “Real $K3$ surfaces with non-symplectic involution and applications. II”, Proc. Lond. Math. Soc. (3), 95:1 (2007), 20–48  crossref  mathscinet (cited: 1)  zmath  isi  scopus (cited: 1)
31. V. V. Nikulin, “On correspondences of a $K3$ surface with itself. II”, Algebraic geometry, Contemp. Math., 422, Amer. Math. Soc., Providence, RI, 2007, 121–172  crossref  mathscinet (cited: 3)  zmath  isi (cited: 3)
32. V. V. Nikulin, “Finiteness of the number of arithmetic groups generated by reflections in Lobachevsky spaces”, Izv. Math., 71:1 (2007), 53–56  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 13)  elib  scopus (cited: 4)

   2006
33. V. Alexeev, V. V. Nikulin, Del Pezzo and $K3$ surfaces, MSJ Memoirs, 15, Mathematical Society of Japan, Tokyo, 2006 , xvi+149 pp.  mathscinet (cited: 43)  zmath

   2005
34. V. V. Nikulin, S. Saito, “Real $K3$ surfaces with non-symplectic involution and applications”, Proc. London Math. Soc. (3), 90:3 (2005), 591–654  crossref  mathscinet (cited: 5)  zmath  isi (cited: 5)  scopus (cited: 5)

   2004
35. V. V. Nikulin, “On algebraic varieties with finite polyhedral Mori cone”, The Fano Conference, Univ. Torino, Turin, 2004, 573–589  mathscinet (cited: 1)  zmath
36. C. Madonna, V. V. Nikulin, “On a classical correspondence between $K3$ surfaces. II”, Strings and geometry, Clay Math. Proc., 3, Amer. Math. Soc., Providence, RI, 2004, 285–300  mathscinet (cited: 5)  zmath
37. V. V. Nikulin, “On Correspondences of a K3 Surface with Itself. I”, Proc. Steklov Inst. Math., 246 (2004), 204–226  mathnet  mathscinet  zmath

   2003
38. C. G. Madonna, V. V. Nikulin, “On a Classical Correspondence between K3 Surfaces”, Proc. Steklov Inst. Math., 241 (2003), 120–153  mathnet  mathscinet  zmath

   2002
39. V. A. Gritsenko, V. V. Nikulin, “On classification of Lorentzian Kac–Moody algebras”, Russian Math. Surveys, 57:5 (2002), 921–979  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 19)  elib (cited: 12)  scopus (cited: 16)

   1996
40. V. V. Nikulin, “A remark on discriminants of moduli of $K3$ surfaces as sets of zeros of automorphic forms”, J. Math. Sci., 81:3 (1996), 2738–2743  mathnet  crossref  mathscinet  zmath  scopus (cited: 12)

   2000
41. V. V. Nikulin, “A remark on algebraic surfaces with polyhedral Mori cone”, Nagoya Math. J., 157 (2000), 73–92  crossref  mathscinet (cited: 8)  zmath  isi (cited: 8)  scopus (cited: 9)
42. V. A. Gritsenko, V. V. Nikulin, “The arithmetic mirror symmetry and Calabi-Yau manifolds”, Comm. Math. Phys., 210:1 (2000), 1–11  crossref  mathscinet (cited: 12)  zmath  adsnasa  isi (cited: 6)  scopus (cited: 9)
43. V. V. Nikulin, “On the Classification of Hyperbolic Root Systems of Rank Three”, Proc. Steklov Inst. Math., 230:3 (2000), 1–241  mathnet  mathscinet  zmath  zmath

   1999
44. V. V. Nikulin, “$K3$ surfaces with interesting groups of automorphisms”, Algebraic geometry, 8, J. Math. Sci. (New York), 95:1 (1999), 2028–2048  crossref  mathscinet (cited: 7)  zmath  scopus (cited: 6)

   2001
45. V. V. Nikulin, “A theory of Lorentzian Kac–Moody algebras”, J. Math. Sci. (New York), 106:4 (2001), 3212–3221  mathnet  crossref  mathscinet  zmath  scopus (cited: 4)

   1998
46. V. A. Gritsenko, V. V. Nikulin, “Automorphic forms and Lorentzian Kac-Moody algebras. II”, Internat. J. Math., 9:2 (1998), 201–275  crossref  mathscinet (cited: 48)  zmath  isi (cited: 56)
47. V. A. Gritsenko, V. V. Nikulin, “Automorphic forms and Lorentzian Kac-Moody algebras. I”, Internat. J. Math., 9:2 (1998), 153–199  crossref  mathscinet (cited: 20)  zmath  isi (cited: 29)

   1997
48. V. A. Gritsenko, V. V. Nikulin, “Siegel automorphic form corrections of some Lorentzian Kac-Moody Lie algebras”, Amer. J. Math., 119:1 (1997), 181–224  crossref  mathscinet (cited: 41)  zmath  isi (cited: 59)  scopus (cited: 59)

   1996
49. V. V. Nikulin, “The diagram method for 3-folds and its application to the Kähler cone and Picard number of Calabi-Yau 3-folds. I”, Higher-dimensional complex varieties (Trento, 1994), de Gruyter, Berlin, 1996, 261–328  mathscinet (cited: 12)  zmath  isi (cited: 2)
50. V. A. Gritsenko, V. V. Nikulin, “$K3$ surfaces, Lorentzian Kac-Moody algebras and mirror symmetry”, Math. Res. Lett., 3:2 (1996), 211–229  crossref  mathscinet (cited: 17)  zmath  scopus (cited: 18)
51. V. V. Nikulin, “On the topological classification of real Enriques surfaces. I”, Topology of real algebraic varieties and related topics, Amer. Math. Soc. Transl. Ser. 2, 173, Amer. Math. Soc., Providence, RI, 1996, 187–201  mathscinet (cited: 1)  zmath  isi (cited: 85)
52. V. V. Nikulin, “Basis of the diagram method for generalized reflection groups in Lobachevsky spaces and algebraic surfaces with nef anticanonical class”, Internat. J. Math., 7:1 (1996), 71–108  crossref  mathscinet (cited: 5)  zmath  isi (cited: 5)  scopus (cited: 7)
53. V. A. Gritsenko, V. V. Nikulin, “Igusa modular forms and 'the simplest' Lorentzian Kac–Moody algebras”, Sb. Math., 187:11 (1996), 1601–1641  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 22)  elib (cited: 20)  scopus (cited: 21)
54. V. V. Nikulin, “Reflection groups in Lobachevskii spaces and the denominator identity for Lorentzian Kac–Moody algebras”, Izv. Math., 60:2 (1996), 305–334  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 10)  scopus (cited: 7)

   1995
55. V. A. Gritsenko, V. V. Nikulin, “Automorphic correction of a Lorentzian Kac-Moody algebra”, C. R. Acad. Sci. Paris Sér. I Math., 321:9 (1995), 1151–1156  mathscinet (cited: 8)  zmath  isi (cited: 13)

   1994
56. V. V. Nikulin, “On the Picard number of Fano 3-folds with terminal singularities”, J. Math. Kyoto Univ., 34:3 (1994), 495–529  crossref  mathscinet (cited: 1)  zmath  isi (cited: 2)
57. V. V. Nikulin, “On the Brauer group of real algebraic surfaces”, Algebraic geometry and its applications (Yaroslavl', 1992), Aspects Math., E25, Vieweg, Braunschweig, 1994, 113–136  crossref  mathscinet (cited: 8)  zmath  isi (cited: 8)

   1993
58. V. V. Nikulin, R. Sujatha, “On Brauer groups of real Enriques surfaces”, J. Reine Angew. Math., 444 (1993), 115–154  crossref  mathscinet (cited: 5)  zmath  isi (cited: 10)  scopus (cited: 8)

   1991
59. V. V. Nikulin, “Weil linear systems on singular $K3$ surfaces”, Algebraic geometry and analytic geometry (1990, Tokyo), ICM-90 Satell. Conf. Proc., Springer, Tokyo, 1991, 138–164  crossref  mathscinet (cited: 10)  zmath
60. V. V. Nikulin, “On rational maps between $K3$ surfaces”, Constantin Carathéodory: an international tribute, v. II, World Sci. Publ., Teaneck, NJ, 1991, 964–995  crossref  mathscinet (cited: 5)  zmath
61. V. V. Nikulin, “Algebraic three-folds and the diagram method”, Math. USSR-Izv., 37:1 (1991), 157–189  mathnet  crossref  mathscinet  zmath  adsnasa  scopus

   1989
62. V. A. Alekseev, V. V. Nikulin, “Classification of del Pezzo surfaces with log-terminal singularities of index $\le 2$, and involutions on K3 surfaces”, Soviet Math. Dokl., 39:3 (1989), 507–511  mathnet  mathscinet  zmath  isi (cited: 3)

   1990
63. V. V. Nikulin, “Del Pezzo surfaces with log-terminal singularities. III”, Math. USSR-Izv., 35:3 (1990), 657–675  mathnet  crossref  mathscinet  zmath
64. V. V. Nikulin, “Del Pezzo surfaces with log-terminal singularities”, Math. USSR-Sb., 66:1 (1990), 231–248  mathnet  crossref  mathscinet  zmath  isi (cited: 8)  scopus (cited: 3)

   1988
65. V. A. Alekseev, V. V. Nikulin, “Classification of del Pezzo surfaces with log-terminal singularities of index $\le 2$, involutions on $K3$ surfaces, and reflection groups in Lobachevskiĭ spaces”, Lectures in mathematics and its applications, 2, no. 2, Ross. Akad. Nauk, Inst. Mat. im. Steklova, Moscow; Tul'sk. Politekhn. Inst., Tula, 1988, 51–150  mathscinet

   1989
66. V. V. Nikulin, “Del Pezzo surfaces with log-terminal singularities. II”, Math. USSR-Izv., 33:2 (1989), 355–372  mathnet  crossref  mathscinet  zmath  scopus (cited: 4)

   1987
67. V. V. Nikulin, “Discrete reflection groups in Lobachevsky spaces and algebraic surfaces”, Proceedings of the International Congress of Mathematicians (Berkeley, Calif., 1986), v. 1, 2, Amer. Math. Soc., Providence, RI, 1987, 654–671  mathscinet (cited: 38)  zmath
68. V. V. Nikulin, I. R. Shafarevich, Geometries and groups, Springer Series in Soviet Mathematics, Springer-Verlag, Berlin, 1987 , viii+251 pp.  mathscinet (cited: 5)  zmath

   1988
69. V. V. Nikulin, “On correspondences between K3 surfaces”, Math. USSR-Izv., 30:2 (1988), 375–383  mathnet  crossref  mathscinet  zmath  scopus (cited: 4)

   1987
70. V. V. Nikulin, “Local invariants of 4-dimensional pseudo-Riemannian manifolds with a Lorentz metric”, J. Soviet Math., 37:4 (1987), 1210–1238  mathnet  crossref  mathscinet  zmath  scopus

   1986
71. V. V. Nikulin, “Filtrations of 2-elementary forms and involutions of integral symmetric and skew-symmetric bilinear forms”, Math. USSR-Izv., 27:1 (1986), 159–182  mathnet  crossref  mathscinet  zmath  scopus

   1984
72. V. V. Nikulin, “On a description of the automorphism groups of Enriques surfaces”, Sov. Math. Dokl., 30 (1984), 282–285  mathnet  mathscinet  zmath  isi (cited: 6)
73. V. V. Nikulin, “$K3$ surfaces with a finite group of automorphisms and a Picard group of rank three”, Algebraic geometry and its applications, Collection of articles, Trudy Mat. Inst. Steklov., 165, 1984, 119–142  mathnet  mathscinet  zmath

   1983
74. V. V. Nikulin, I. R. Shafarevich, Geometrii i gruppy, Nauka, M., 1983 , 240 pp.  mathscinet (cited: 1)  zmath

   1984
75. V. V. Nikulin, “Involutions of integral quadratic forms and their applications to real algebraic geometry”, Math. USSR-Izv., 22:1 (1984), 99–172  mathnet  crossref  mathscinet  zmath  scopus (cited: 8)

   1983
76. V. V. Nikulin, “Quotient-groups of groups of automorphisms of hyperbolic forms by subgroups generated by 2-reflections. Algebro-geometric applications”, J. Soviet Math., 22:4 (1983), 1401–1475  mathnet  crossref  mathscinet  zmath  scopus (cited: 75)

   1982
77. V. V. Nikulin, “On the classification of arithmetic groups generated by reflections in Lobachevsky spaces”, Math. USSR-Izv., 18:1 (1982), 99–123  mathnet  crossref  mathscinet  zmath  isi (cited: 1)  scopus (cited: 11)

   1981
78. V. V. Nikulin, “On arithmetic groups generated by reflections in Lobachevskii spaces”, Math. USSR-Izv., 16:3 (1981), 573–601  mathnet  crossref  mathscinet  zmath  adsnasa  isi (cited: 18)  scopus (cited: 14)

   1979
79. V. V. Nikulin, “Konechnye gruppy avtomorfizmov kelerovykh poverkhnostei tipa $K_3$”, Tr. MMO, 38, Izd-vo Mosk. un-ta, M., 1979, 75–137  mathnet (cited: 13)  mathscinet (cited: 124)  zmath
80. V. V. Nikulin, “On factor groups of the automorphism groups of hyperbolic forms modulo subgroups generated by 2-reflections”, Sov. Math. Dokl., 20 (1979), 1156–1158  mathscinet  zmath  isi

   1980
81. V. V. Nikulin, “Integral symmetric bilinear forms and some of their applications”, Math. USSR-Izv., 14:1 (1980), 103–167  mathnet  crossref  mathscinet  zmath  isi (cited: 317)  scopus (cited: 259)

   1976
82. V. V. Nikulin, “Finite groups of automorphisms of Kählerian surfaces of type K3”, Uspekhi Mat. Nauk, 31:2(188) (1976), 223–224  mathnet  mathscinet  zmath

   1975
83. V. V. Nikulin, “On Kummer surfaces”, Math. USSR-Izv., 9:2 (1975), 261–275  mathnet  crossref  mathscinet  zmath  scopus (cited: 40)

   1974
84. V. V. Nikulin, “An analogue of the Torelli theorem for Kummer surfaces of Jacobians”, Math. USSR-Izv., 8:1 (1974), 21–41  mathnet  crossref  mathscinet  zmath  scopus (cited: 4)
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