**American Mathematical Society Translations - Series 2
Advances in the Mathematical Sciences**

1996; 273 pp; Hardcover

MSC: Primary 00; Secondary 12; 14; 19; 34; 52; 57; 58; 68; 81

Print ISBN: 978-0-8218-0559-6

Product Code: TRANS2/174

Print ISBN: 978-0-8218-0559-6

Product Code: TRANS2/174

List Price: $126.00

AMS Member Price: $100.80

**Electronic ISBN: 978-1-4704-3385-7
Product Code: TRANS2/174.E**

List Price: $126.00

AMS Member Price: $100.80

MAA member Price: $113.40

# Mathematics in St. Petersburg

Share this page *Edited by *
*A. A. Bolibruch; A S Merkur′ev; N. Yu. Netsvetaev*

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.

Feature:

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

#### Readership

General mathematical audience.

# Table of Contents

## Mathematics in St. Petersburg

- Cover Cover11
- Title page v6
- Copyright page vi7
- Contents vii8
- Editors’ preface ix10
- Foreword xi12
- Some memories of boarding school #45 116
- Part I. Algebra 722
- The geometrical genus of the moduli space of abelian varieties 924
- On the cohomology groups of the field of rational functions 2136
- On topological filtration for Severi-Brauer varieties II 4560
- On the norm residue homomorphism for fields 4964
- Concerning Hall’s theorem 7388
- Simplicial determinant maps and the second term of weight filtrations 7994
- On common zeros of two quadratic forms 95110
- Isogenies of height one and filtrations of formal groups 103118
- Homology stability for 𝐻-unital 𝑄-algebras 117132
- Part II. Geometry and analysis 141156
- Willmore surfaces, 4-particle Toda lattice and double coverings of hyperelliptic surfaces 143158
- On the Birkhoff standard form of linear systems of ODE 169184
- NC solving of a system of linear ordinary differential equations in several unknowns 181196
- Hyperreflexivity of contractions close to isometries 193208
- On the definition of the 2-category of 2-knots 205220
- Application of topology to some problems in combinatorial geometry 223238
- Homology and cohomology of hypersurfaces with quadratic singular points in generic position 229244
- Asymptotic solutions to the quantized Knizhnik-Zamolodchikov equation and Bethe vectors 235250
- Back Cover Back Cover1289