Mathematics in St. Petersburg
著者
書誌事項
Mathematics in St. Petersburg
(American Mathematical Society translations, ser. 2,
American Mathematical Society, c1996
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注記
Includes bibliographical references
内容説明・目次
内容説明
This volume is dedicated to the 30th anniversary of the founding of the Academic Gymnasium of St. Petersburg University. From the day it was founded until recent times, the school was officially called the 'Specialized Physico-Mathematical Boarding School No. 45 of Leningrad University' but was generally known as the '45th Boarding School'. Almost all of the authors of this volume graduated at different times from the 45th Boarding School and then studied at Leningrad University. The initial impetus for publishing this volume was a three-day conference held at St. Petersburg University in October 1993. The papers in the volume were mostly collected during the winter and spring of 1994. It also features ""Some Memories of Boarding School No. 45"" -A. A. Bolibruch.
目次
Some memories of boarding school No. 45 by A. A. Bolibruch Part I. Algebra: The geometrical genus of the moduli space of abelian varieties by V. A. Gritsenko On the cohomology groups of the field of rational functions by O. T. Izhboldin On topological filtration for Severi-Brauer varieties II by N. A. Karpenko On the norm residue homomorphism for fields by A. S. Merkurev Concerning Hall's theorem by A. G. Moshonkin Simplicial determinant maps and the second term of weight filtrations by A. Yu. Nenashev On common zeros of two quadratic forms by A. S. Sivatsky Isogenies of height one and filtrations of formal groups by A. L. Smirnov Homology stability for $H$-unital $Q$-algebras by A. A. Suslin Part II. Geometry and Analysis: Willmore surfaces, 4-particle toda lattice, and double coverings of hyperelliptic surfaces by M. V. Babich On the Birkhoff standard form of linear systems of ODE by A. A. Bolibruch NC solving of a system of linear ordinary differential equations in several unknowns by D. Yu. Grigoriev Hyperreflexivity of contractions close to isometries by V. V. Kapustin On the definition of the 2-category of 2-knots by V. M. Kharlamov and V. G. Turaev Application of topology to some problems in combinatorial geometry by V. V. Makeev Homology and cohomology of hypersurfaces with quadratic singular points in generic position by N. Yu. Netsvetaev Asymptotic solutions to the quantized Knizhnik-Zamolodchikov equation and Bethe vectors by V. O. Tarasov and A. N. Varchenko.
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