Persons: Nikulin Vyacheslav Valentinovich

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Nikulin Vyacheslav Valentinovich

Statistics Math-Net.Ru
Total publications:	32
Scientific articles:	28
Citations to the author:	203
Cited articles:	23
Citing authors:	30
Presentations:	2

Number of views:
This page:	551
Abstract pages:	2854
Full texts:	1040
References:	134

Scientific status:

Professor

Scientific degree:

Doctor of physico-mathematical sciences (1985)

E-mail:

Keywords:

deformation, real $K3$ surface, moduli, connected component, hyperelliptic curve, linear system, real rational surface, ellipsoid, hyperboloid, polarization.

UDC:

512.818.4, 512.817.72, 511.334, 512.774, 513.6, 511, 512.723, 512.817.6, 512.734, 519.46, 512.7, 512.774.5, 511.3

List of publications on Google Scholar

List of publications on ZentralBlatt

Personal webpage on MathSciNet

Publications in Math-Net.Ru

1.	Explicit correspondences of a K3 surface with itself C. G. Madonna, V. V. Nikulin Izv. RAN. Ser. Mat., 2008, 72:3, 89–102
2.	On the connected components of moduli of real polarized $\mathrm K3$-surfaces V. V. Nikulin Izv. RAN. Ser. Mat., 2008, 72:1, 99–122
3.	On Ground Fields of Arithmetic Hyperbolic Reflection Groups. II V. V. Nikulin Mosc. Math. J., 2008, 8:4, 789–812
4.	Finiteness of the number of arithmetic groups generated by reflections in Lobachevsky spaces V. V. Nikulin Izv. RAN. Ser. Mat., 2007, 71:1, 55–60
5.	On Correspondences of a K3 Surface with Itself. I V. V. Nikulin Tr. Mat. Inst. Steklova, 2004, 246, 217–239
6.	On a Classical Correspondence between K3 Surfaces C. G. Madonna, V. V. Nikulin Tr. Mat. Inst. Steklova, 2003, 241, 132–168
7.	On classification of Lorentzian Kac–Moody algebras V. A. Gritsenko, V. V. Nikulin Uspekhi Mat. Nauk, 2002, 57:5(347), 79–138
8.	A remark on discriminants of moduli of $K3$ surfaces as sets of zeros of automorphic forms V. V. Nikulin Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 2001, 33, 242–250
9.	On the Classification of Hyperbolic Root Systems of Rank Three V. V. Nikulin Tr. Mat. Inst. Steklova, 2000, 230, 3–255
10.	A theory of Lorentzian Kac–Moody algebras V. V. Nikulin Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 1999, 69, 147–167
11.	Reflection groups in Lobachevskii spaces and the denominator identity for Lorentzian Kac–Moody algebras V. V. Nikulin Izv. RAN. Ser. Mat., 1996, 60:2, 73–106
12.	Igusa modular forms and 'the simplest' Lorentzian Kac–Moody algebras V. A. Gritsenko, V. V. Nikulin Mat. Sb., 1996, 187:11, 27–66
13.	Algebraic three-folds and the diagram method V. V. Nikulin Izv. Akad. Nauk SSSR Ser. Mat., 1990, 54:4, 810–845
14.	Del Pezzo surfaces with log-terminal singularities. III V. V. Nikulin Izv. Akad. Nauk SSSR Ser. Mat., 1989, 53:6, 1316–1334
15.	Del Pezzo surfaces with log-terminal singularities V. V. Nikulin Mat. Sb., 1989, 180:2, 226–243
16.	Del Pezzo surfaces with log-terminal singularities. II V. V. Nikulin Izv. Akad. Nauk SSSR Ser. Mat., 1988, 52:5, 1032–1050
17.	On correspondences between K3 surfaces V. V. Nikulin Izv. Akad. Nauk SSSR Ser. Mat., 1987, 51:2, 402–411
18.	Filtrations of 2-elementary forms and involutions of integral symmetric and skew-symmetric bilinear forms V. V. Nikulin Izv. Akad. Nauk SSSR Ser. Mat., 1985, 49:4, 847–873
19.	Local invariants of 4-dimensional pseudo-Riemannian manifolds with a Lorentz metric V. V. Nikulin Itogi Nauki i Tekhniki. Ser. Probl. Geom., 1985, 17, 87–130
20.	$K3$ surfaces with a finite group of automorphisms and a Picard group of rank three V. V. Nikulin Trudy Mat. Inst. Steklov., 1984, 165, 119–142
21.	Involutions of integral quadratic forms and their applications to real algebraic geometry V. V. Nikulin Izv. Akad. Nauk SSSR Ser. Mat., 1983, 47:1, 109–188
22.	On the classification of arithmetic groups generated by reflections in Lobachevsky spaces V. V. Nikulin Izv. Akad. Nauk SSSR Ser. Mat., 1981, 45:1, 113–142
23.	Quotient-groups of groups of automorphisms of hyperbolic forms by subgroups generated by 2-reflections. Algebro-geometric applications V. V. Nikulin Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat., 1981, 18, 3–114
24.	On arithmetic groups generated by reflections in Lobachevskii spaces V. V. Nikulin Izv. Akad. Nauk SSSR Ser. Mat., 1980, 44:3, 637–669
25.	Integral symmetric bilinear forms and some of their applications V. V. Nikulin Izv. Akad. Nauk SSSR Ser. Mat., 1979, 43:1, 111–177
26.	Finite groups of automorphisms of Kählerian surfaces of type K3 V. V. Nikulin Uspekhi Mat. Nauk, 1976, 31:2(188), 223–224
27.	On Kummer surfaces V. V. Nikulin Izv. Akad. Nauk SSSR Ser. Mat., 1975, 39:2, 278–293
28.	An analogue of the Torelli theorem for Kummer surfaces of Jacobians V. V. Nikulin Izv. Akad. Nauk SSSR Ser. Mat., 1974, 38:1, 22–41

29.	Vasilii Alekseevich Iskovskikh (obituary) 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 Uspekhi Mat. Nauk, 2009, 64:5(389), 167–174
30.	Andrei Nikolaevich Tyurin (obituary) F. A. Bogomolov, A. L. Gorodentsev, V. A. Iskovskikh, Yu. I. Manin, V. V. Nikulin, D. O. Orlov, A. N. Parshin, V. Ya. Pidstrigach, A. S. Tikhomirov, N. A. Tyurin, I. R. Shafarevich Uspekhi Mat. Nauk, 2003, 58:3(351), 176–182
31.	Vasilii Alekseevich Iskovskikh (on his 60th birthday) 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 Uspekhi Mat. Nauk, 1999, 54:4(328), 183–187
32.	Dmitrii Andreevich Gudkov (on his seventieth birthday) V. I. Arnol'd, O. Ya. Viro, E. A. Leontovich-Andronova, V. V. Nikulin, S. P. Novikov, O. A. Oleinik, G. M. Polotovsky, V. M. Kharlamov Uspekhi Mat. Nauk, 1989, 44:1(265), 223–225

Presentations

On classification of arithmetic groups generated by reflections in Lobachevsky spaces
International Conference of Steklov Institute Members, working outside Russia
June 6, 2009 12:30
On self-correspondences of K3 surfaces via moduli of sheaves
International conference "Geometry of Algebraic Varieties" dedicated to the memory of Vasily Alexeevich Iskovskikh
June 30, 2009 16:30

Книги в базе данных Math-Net.Ru

V. V. Nikulin, On the classification of hyperbolic root systems of rank three, Tr. Mat. Inst. Steklova, 230, ed. I. R. Shafarevich, E. F. Mishchenko, 2000, 256 с.
http://mi.mathnet.ru/book243

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