**Documenta Mathematica**

Volume: 3;
2003;
918 pp;
Hardcover

MSC: Primary 00; 11;
**Print ISBN: 978-3-936609-21-9
Product Code: DOCMATH/3**

List Price: $113.00

Individual Member Price: $90.40

# A Collection of Manuscripts Written in Honour of Kazuya Kato on the Occasion of His Fiftieth Birthday

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*S. Bloch; I. Fesenko; L. Illusie; M. Kurihara; S. Saito; T. Saito; P. Schneider*

A publication of Documenta Mathematica (Bielefeld, Germany)

This volume is dedicated to Professor Kazuya Kato in acknowledgement of his deep and seminal contribution to number theory and algebraic geometry.

The book contains papers on a wide range of topics on the cutting edge of research in arithmetic algebraic geometry, number theory, algebraic geometry, and analysis. Topics covered are zeta functions, \(L\)-functions, higher class field theory, ramification theory, local explicit formulas, \(p\)-adic Hodge theory, \(p\)-adic Galois representation theory, arithmetic of elliptic curves, Iwasawa theory, \(K\)-theory of algebraic numbers, algebraic cycles, polylogarithms, logarithmic geometry, Riemann-Hilbert correspondence, rigid cohomology, and anabelian geometry. The volume also contains a short poem on prime numbers written by Kazuya Kato.

The material will be of interest to researchers and students in these and neighboring fields.

A publication of Documenta Mathematica. The AMS distributes this series, beginning with volume 3, in the United States, Canada, and Mexico.

#### Table of Contents

# Table of Contents

## A Collection of Manuscripts Written in Honour of Kazuya Kato on the Occasion of His Fiftieth Birthday

#### Readership

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