WorldCat Identities

Никулин, В. В (Вячеслав Валентинович)

Overview
Works: 49 works in 87 publications in 3 languages and 867 library holdings
Genres: History 
Classifications: QA445, 516
Publication Timeline
Key
Publications about  В. В Никулин Publications about В. В Никулин
Publications by  В. В Никулин Publications by В. В Никулин
Most widely held works by В. В Никулин
Geometries and groups by V. V Nikulin ( Book )
19 editions published between 1983 and 1994 in English and held by 636 WorldCat member libraries worldwide
This is a quite exceptional book, a lively and approachable treatment of an important field of mathematics given in a masterly style. Assuming only a school background, the authors develop locally Euclidean geometries, going as far as the modular space of structures on the torus, treated in terms of Lobachevsky's non-Euclidean geometry. Each section is carefully motivated by discussion of the physical and general scientific implications of the mathematical argument, and its place in the history of mathematics and philosophy. The book is expected to find a place alongside classics such as Hilbert and Cohn-Vossen's "Geometry and the imagination" and Weyl's "Symmetry."
On the classification of hyperbolic root systems of rank three by V. V Nikulin ( Book )
8 editions published in 2000 in English and held by 75 WorldCat member libraries worldwide
Del Pezzo and K3 surfaces by Valery Alexeev ( Book )
5 editions published in 2006 in English and held by 53 WorldCat member libraries worldwide
Geometrii i gruppy by V. V Nikulin ( Book )
3 editions published in 1983 in Russian and held by 22 WorldCat member libraries worldwide
My oshchushchali zapakh bedy : ot Kovrova do Chernobyli︠a︡ : trevogi, nadezhdy, povoroty sudʹby v atomnom veke ( Book )
1 edition published in 2001 in Russian and held by 14 WorldCat member libraries worldwide
O klassifikacii giperboličeskich sistem kornej ranga tri by V. V Nikulin ( Book )
3 editions published in 2000 in Russian and held by 7 WorldCat member libraries worldwide
Reflection groups in hyperbolic spaces and the denominator formula for Lorentzian Kac-Moody lie algebras by V. V Nikulin ( Book )
2 editions published in 1995 in English and held by 4 WorldCat member libraries worldwide
Kikagaku to gun ( Book )
2 editions published in 1993 in Japanese and held by 4 WorldCat member libraries worldwide
O klassifikat︠s︡ii giperbolicheskikh sistem korneĭ ranga tri by V. V Nikulin ( Book )
1 edition published in 2000 in Russian and held by 4 WorldCat member libraries worldwide
Geometry and groups by V. V Nikulin ( Book )
1 edition published in 1987 in English and held by 4 WorldCat member libraries worldwide
K3 surfaces with interesting groups of automorphisms by V. V Nikulin ( Book )
1 edition published in 1997 in English and held by 3 WorldCat member libraries worldwide
Abstract: "By the fundamental result of I.I. Piatetsky-Shapiro and I.R. Shafarevich (1971), the automorphism group Aut(X) of a K3 surface X over C and its action on the Picard lattices S[subscript X] are prescribed by the Picard lattice S[subscript X]. We use this result and our method (1980) to show finiteness of the set of Picard lattices S[subscript X] of rank [> or =] 3 such that the automorphism group Aut(X) of the K3 surface X has a non-trivial invariant sublattice S₀ in S[subscript X] where the group Aut(X) acts as a finite group. For hyperbolic and parabolic lattices S₀ it has been proved by the author before (1980, 1995). Thus we extend this results to negative sublattices S₀. We give several examples of Picard lattices S[subscript X] with parabolic and negative S₀. We also formulate the corresponding finiteness result for reflective hyperbolic lattices of hyperbolic type over purely real algebraic number fields. These results are important for the theory of Lorentzian Kac-Moody algebras and Mirror Symmetry."
The arithmetic mirror symmetry and Calabi-Yau manifolds by Valeri A Gritsenko ( Book )
1 edition published in 1997 in English and held by 3 WorldCat member libraries worldwide
Abstract: "We extend our variant of mirror symmetry for K3 surfaces [GN3] and clarify its relation with mirror symmetry for Calabi-Yau manifolds. We introduce two classes (for the models A and B) of Calabi- Yau manifolds fibrated by K3 surfaces with some special Picard lattices. These two classes are related with automorphic forms on IV type domains which we studied in our papers [GN1]-[GN6]. Conjecturally these automorphic forms take part in the quantum intersection pairing for model A, Yukawa coupling for model B and mirror symmetry between these two classes of Calabi-Yau manifolds. Recently there were several papers by physicists where it was shown on some examples. We propose a problem of classification of introduced Calabi-Yau manifolds. Our papers [GN1]-[GN6] and [N3]-[N14] give a hope that this is possible. They describe possible Picard or transcendental lattices of general K3 fibers of the Calabi-Yau manifolds."
The igusa modular forms and "the simplest" Lorentzian Kac-Moody algebras by Valeri A Gritsenko ( Book )
1 edition published in 1996 in English and held by 2 WorldCat member libraries worldwide
My oščuščali zapach bedy : ot Kovrova do Černobylja: trevogi, nadeždy, povoroty sud'by v atomnom veke by V. V Nikulin ( Book )
2 editions published in 2001 in Russian and held by 2 WorldCat member libraries worldwide
On correspondences of a K3 surface with itself by V. V Nikulin ( )
2 editions published in 2003 in English and held by 2 WorldCat member libraries worldwide
On classification of Lorentzian Kac-Moody algebras by Valery A Gritsenko ( Book )
1 edition published in 2002 in English and held by 2 WorldCat member libraries worldwide
Algebraic 3-folds and diagram method by V. V Nikulin ( Book )
1 edition published in 1990 in English and held by 1 WorldCat member library worldwide
Real K3 surfaces with non-symplectic involutions and applications by V. V Nikulin ( Book )
1 edition published in 2004 in English and held by 1 WorldCat member library worldwide
On congruence monodromy problems by Valery Alexeev ( Book )
1 edition published in 2008 in English and held by 1 WorldCat member library worldwide
Issledovanie načalʹnoj stadii formirovanija otverstija v otlivke vraščatelʹnym rabočim organom metodom modelirovanija by A. V Kuksa ( Book )
1 edition published in 1997 in Russian and held by 1 WorldCat member library worldwide
 
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Alternative Names
Nikouline Viatcheslav Valentinovitch
Nikulin, V. V.
Nikulin, Viacheslav V.
Nikulin Viacheslav Valentinovich
Nikulin, Vjačeslav Valentinovič
Nikulin, Vjačeslav Valentinovič. [t]
Никулин, Вячеслав Валентинович.
ニクリン, V. V
Languages
English (44)
Russian (11)
Japanese (2)
Covers