**Contemporary Mathematics**

Volume: 300;
2002;
220 pp;
Softcover

MSC: Primary 11; 14;

Print ISBN: 978-0-8218-3267-7

Product Code: CONM/300

List Price: $72.00

Individual Member Price: $57.60

**Electronic ISBN: 978-0-8218-7890-3
Product Code: CONM/300.E**

List Price: $72.00

Individual Member Price: $57.60

# Algebraic Number Theory and Algebraic Geometry: Papers Dedicated to A. N. Parshin on the Occasion of his Sixtieth Birthday

Share this page *Edited by *
*Sergei Vostokov; Yuri Zarhin*

A. N. Parshin is a world-renowned mathematician who has made
significant contributions to number theory through the use of
algebraic geometry. Articles in this volume present new research and
the latest developments in algebraic number theory and algebraic
geometry and are dedicated to Parshin's sixtieth birthday. Well-known
mathematicians contributed to this volume, including, among others,
F. Bogomolov, C. Deninger, and G. Faltings.

The book is intended for graduate students and research mathematicians
interested in number theory, algebra, and algebraic geometry.

#### Table of Contents

# Table of Contents

## Algebraic Number Theory and Algebraic Geometry: Papers Dedicated to A. N. Parshin on the Occasion of his Sixtieth Birthday

- Contents v6 free
- Aleksey Nikolaevich Parshin. Preface vii8 free
- Ramification theory for higher dimensional local fields 110 free
- Unramified correspondences 1726
- Local Leopoldt's problem for ideals in totally ramified p-extensions of complete discrete valuation fields 2736
- Quotients of algebraic varieties by Zariski dense equivalence relations 5968
- A note on arithmetic topology and dynamical systems 99108
- A relation between two moduli spaces studied by V. G. Drinfeld 115124
- An invariant for varieties in positive characteristic 131140
- Honda groups and explicit pairings on the modules of Cartier curves 143152
- Algebraic oriented cohomology theories 171180
- Hyperelliptic jacobians without complex multiplication, doubly transitive permutation groups and projective representations 195204
- Ramification of surfaces: Artin-Schreier extensions 211220

#### Readership

Graduate students and research mathematicians interested in number theory, algebra, and algebraic geometry.