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Advances in the Mathematical Sciences
Mathematics in St. Petersburg
Edited by: A. A. Bolibruch, Steklov Institute of Mathematics, Moscow, Russia, A. S. Merkur'ev, University of Franche-Comte, Besancon, France, and N. Yu. Netsvetaev, St. Petersburg State University, Russia

American Mathematical Society Translations--Series 2
Advances in the Mathematical Sciences
1996; 273 pp; hardcover
Volume: 174
ISBN-10: 0-8218-0559-2
ISBN-13: 978-0-8218-0559-6
List Price: US$126
Member Price: US$100.80
Order Code: TRANS2/174
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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 #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.


  • Some Memories of Boarding School #45--A. A. Bolibruch


General mathematical audience.

Table of Contents

  • A. A. Bolibruch -- Some memories of boarding school #45
Part I. Algebra
  • V. A. Gritsenko -- The geometrical genus of the moduli space of abelian varieties
  • O. T. Izhboldin -- On the cohomology groups of the field of rational functions
  • N. A. Karpenko -- On topological filtration for Severi-Brauer varieties II
  • A. S. Merkur'ev -- On the norm residue homomorphism for fields
  • A. G. Moshonkin -- Concerning Hall's theorem
  • A. Yu. Nenashev -- Simplicial determinant maps and the second term of weight filtrations
  • A. S. Sivatsky -- On common zeros of two quadratic forms
  • A. L. Smirnov -- Isogenies of height one and filtrations of formal groups
  • A. A. Suslin -- Homology stability for \(H\)-unital \(Q\)-algebras
Part II. Geometry and Analysis
  • M. V. Babich -- Willmore surfaces, 4-particle toda lattice, and double coverings of hyperelliptic surfaces
  • A. A. Bolibruch -- On the Birkhoff standard form of linear systems of ODE
  • D. Yu. Grigoriev -- NC solving of a system of linear ordinary differential equations in several unknowns
  • V. V. Kapustin -- Hyperreflexivity of contractions close to isometries
  • V. M. Kharlamov and V. G. Turaev -- On the definition of the 2-category of 2-knots
  • V. V. Makeev -- Application of topology to some problems in combinatorial geometry
  • N. Yu. Netsvetaev -- Homology and cohomology of hypersurfaces with quadratic singular points in generic position
  • V. O. Tarasov and A. N. Varchenko -- Asymptotic solutions to the quantized Knizhnik-Zamolodchikov equation and Bethe vectors
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