Никулин, В. В (Вячеслав Валентинович)
Overview
Works:  21 works in 58 publications in 4 languages and 748 library holdings 

Roles:  Author 
Classifications:  QA445, 516 
Publication Timeline
.
Most widely held works by
В. В Никулин
Geometries and groups by
V. V Nikulin(
Book
)
28 editions published between 1983 and 1994 in English and Russian and held by 657 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 nonEuclidean 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 CohnVossen's "Geometry and the imagination" and Weyl's "Symmetry."
28 editions published between 1983 and 1994 in English and Russian and held by 657 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 nonEuclidean 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 CohnVossen's "Geometry and the imagination" and Weyl's "Symmetry."
Del Pezzo and K3 surfaces by
Valery Alexeev(
Book
)
5 editions published in 2006 in English and held by 17 WorldCat member libraries worldwide
5 editions published in 2006 in English and held by 17 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 6 WorldCat member libraries worldwide
3 editions published in 2000 in Russian and held by 6 WorldCat member libraries worldwide
Kikagaku to gun(
Book
)
2 editions published in 1993 in Japanese and held by 4 WorldCat member libraries worldwide
2 editions published in 1993 in Japanese and held by 4 WorldCat member libraries worldwide
On the topological classification of real Enriques surfaces by
V. V Nikulin(
Book
)
1 edition published in 1993 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 1993 in English and held by 3 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
2 editions published in 2003 in English and held by 2 WorldCat member libraries worldwide
The igusa modular forms and "the simplest" Lorentzian KacMoody algebras by
Valeri A Gritsenko(
Book
)
1 edition published in 1996 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1996 in English and held by 2 WorldCat member libraries worldwide
Algebraic 3folds and diagram method by
V. V Nikulin(
Book
)
2 editions published in 1990 in German and English and held by 2 WorldCat member libraries worldwide
2 editions published in 1990 in German and English and held by 2 WorldCat member libraries worldwide
Classification of log del Pezzo surfaces of index ≤ 2 by
Valery Alexeev(
Book
)
1 edition published in 2004 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 2004 in English and held by 2 WorldCat member libraries worldwide
On classification of Lorentzian KacMoody algebras by Valery A Gritsenko(
Book
)
1 edition published in 2002 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 2002 in English and held by 2 WorldCat member libraries worldwide
On the classification of hyperbolic root systems of rank three by
V. V Nikulin(
Book
)
1 edition published in 2000 in English and held by 1 WorldCat member library worldwide
1 edition published in 2000 in English and held by 1 WorldCat member library worldwide
Real K3 surfaces with nonsymplectic involutions and applications by
V. V Nikulin(
Book
)
1 edition published in 2004 in English and held by 1 WorldCat member library worldwide
1 edition published in 2004 in English and held by 1 WorldCat member library worldwide
On classification of Lorentzian KacMoody algebras(
)
1 edition published in 2002 in English and held by 1 WorldCat member library worldwide
1 edition published in 2002 in English and held by 1 WorldCat member library worldwide
Real K3 surfaces with nonsymplectic involutions and applications(
)
1 edition published in 2004 in English and held by 1 WorldCat member library worldwide
1 edition published in 2004 in English and held by 1 WorldCat member library worldwide
A bayesian approach to object detection by
V. V Nikulin(
)
1 edition published in 1998 in English and held by 1 WorldCat member library worldwide
1 edition published in 1998 in English and held by 1 WorldCat member library worldwide
On the classification of hyperbolic root systems of the rank tree by
V. V Nikulin(
)
2 editions published in 1999 in English and held by 1 WorldCat member library worldwide
2 editions published in 1999 in English and held by 1 WorldCat member library worldwide
The transition constant for arithmetic hyperbolic reflection groups by
V. V Nikulin(
)
1 edition published in 2010 in English and held by 1 WorldCat member library worldwide
The transition constant was introduced in our 1981 paper and denoted as N(14). It is equal to the maximal degree of the ground fields of Varithmetic connected edge graphs with 4 vertices and of the minimality 14. This constant is fundamental since if the degree of the ground field of an arithmetic hyperbolic reflection group is greater than N(14), then the field comes from special plane reflection groups. In [14], we claimed its upper bound 56. Using similar but more di±cult considerations, here we show that the upper bound is 25. As applications, using this result and our methods, we show that the degree of ground fields of arithmetic hyperbolic reflection groups in dimensions at least 6 has the upper bound 25; in dimensions 3; 4; 5 it has the upper bound 44. This significantly improves our results in [14, 15, 16]. Additionally using recent results by Belolipetsky and Maclachlan, the last upper bound can be improved to 35. In Appendix, we give a review and corrections to Section 1 of our papers [10] which is important for our methods
1 edition published in 2010 in English and held by 1 WorldCat member library worldwide
The transition constant was introduced in our 1981 paper and denoted as N(14). It is equal to the maximal degree of the ground fields of Varithmetic connected edge graphs with 4 vertices and of the minimality 14. This constant is fundamental since if the degree of the ground field of an arithmetic hyperbolic reflection group is greater than N(14), then the field comes from special plane reflection groups. In [14], we claimed its upper bound 56. Using similar but more di±cult considerations, here we show that the upper bound is 25. As applications, using this result and our methods, we show that the degree of ground fields of arithmetic hyperbolic reflection groups in dimensions at least 6 has the upper bound 25; in dimensions 3; 4; 5 it has the upper bound 44. This significantly improves our results in [14, 15, 16]. Additionally using recent results by Belolipetsky and Maclachlan, the last upper bound can be improved to 35. In Appendix, we give a review and corrections to Section 1 of our papers [10] which is important for our methods
Classification of log del Pezzo surfaces of index ≤ 2(
)
1 edition published in 2004 in English and held by 1 WorldCat member library worldwide
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 0 WorldCat member libraries worldwide
1 edition published in 2008 in English and held by 0 WorldCat member libraries worldwide
On the Picard number of Fano 3folds with terminal singularities by
Calif.) Mathematical Sciences Research Institute (Berkeley(
Book
)
1 edition published in 1993 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 1993 in English and held by 0 WorldCat member libraries 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]
Вячеслав Валентинович Никулин российский математик
Никулин, В. В. (Вячеслав Валентинович)
Никулин, Вячеслав Валентинович.
ニクリン, V. V.
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