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

Spencer Bloch; Ivan Fesenko; Luc Illusie; Masato Kurihara; Shuji Saito; Takeshi Saito; Peter Schneider

doi:10.4171/dms/3

BooksdmsCollected Volume

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

Editors

Spencer Bloch
University of Chicago, USA
Ivan Fesenko
University of Nottingham, UK
Luc Illusie
Université Paris-Sud, Orsay, France
Masato Kurihara
Tokyo Metropolitan University, Japan
Shuji Saito
Nagoya University, Japan
Takeshi Saito
University of Tokyo, Japan
Peter Schneider
Universität Münster, Germany

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

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pp. iii–iv
Contents
preface
Preface
pp. 3–4
Prime Numbers
Kazuya Kato
DOI 10.4171/DMS/3/0
pp. 5–72
Ramification of local fields with imperfect residue fields. II
Ahmed AbbesTakeshi Saito
DOI 10.4171/DMS/3/1
pp. 73–97
Specialization of the $p$ -adic polylogarithm to $p$ -th power roots of unity
Kenichi Bannai
DOI 10.4171/DMS/3/2
pp. 99–129
Bloch and Kato's exponential map: three explicit formulas
Laurent Berger
DOI 10.4171/DMS/3/3
pp. 131–155
The additive dilogarithm
Spencer BlochHélène Esnault
DOI 10.4171/DMS/3/4
pp. 157–185
Equivariant Weierstrass preparation and values of $L$ -functions at negative integers
David BurnsCornelius Greither
DOI 10.4171/DMS/3/5
pp. 187–215
Links between cyclotomic and $G L_{2}$ Iwasawa theory
John CoatesPeter SchneiderRamdorai Sujatha
DOI 10.4171/DMS/3/6
pp. 217–225
Stable maps of curves
Robert F. Coleman
DOI 10.4171/DMS/3/7
pp. 227–259
Two-variable zeta functions and regularized products
Christopher Deninger
DOI 10.4171/DMS/3/8
pp. 261–284
Analysis on arithmetic schemes. I
DOI 10.4171/DMS/3/9
pp. 285–385
Almost $C_{p}$ -representation
Jean-Marc Fontaine
DOI 10.4171/DMS/3/10
pp. 387–442
Coleman power series for $K_{2}$ and $p$ -adic zeta functions of modular forms
Takako Fukaya
DOI 10.4171/DMS/3/11
pp. 443–478
Completely faithful Selmer groups over Kummer extensions
Yoshitaka HachimoriOtmar Venjakob
DOI 10.4171/DMS/3/12
pp. 479–538
Kato homology of arithmetic schemes and higher class field theory over local fields
Uwe JannsenShuji Saito
DOI 10.4171/DMS/3/13
pp. 539–563
On the structure of ideal class groups of CM-fields
Masato Kurihara
DOI 10.4171/DMS/3/14
pp. 565–584
Absolute derivations and zeta functions
Nobushige KurokawaHiroyuki OchiaiMasato Wakayama
DOI 10.4171/DMS/3/15
pp. 585–607
Studying the growth of Mordell-Weil
Barry MazurKarl Rubin
DOI 10.4171/DMS/3/16
pp. 609–640
The absolute anabelian geometry of canonical curves
Shinichi Mochizuki
DOI 10.4171/DMS/3/17
pp. 641–654
Refinement of Tate's discriminant bound and non-existence theorems for mod $p$ Galois representations
Hyunsuk MoonYuichiro Taguchi
DOI 10.4171/DMS/3/18
pp. 655–724
On the logarithmic Riemann-Hilbert correspondence
Arthur Ogus
DOI 10.4171/DMS/3/19
pp. 725–760
Selmer groups and coupling; particular case of elliptic curves
Bernadette Perrin-Riou
DOI 10.4171/DMS/3/20
pp. 761–788
A bound for the torsion in the $K$ -theory of algebraic integers
Christophe Soulé
DOI 10.4171/DMS/3/21
pp. 789–831
Unramified Skolem problems and unramified arithmetic Bertini theorems in positive characteristic
Akio Tamagawa
DOI 10.4171/DMS/3/22
pp. 833–890
On the maximal unramified quotients of $p$ -adic étale cohomology groups and logarithmic Hodge--Witt sheaves
Takeshi Tsuji
DOI 10.4171/DMS/3/23
pp. 891–918
On base change theorem and coherence in rigid cohomology
Nobuo Tsuzuki
DOI 10.4171/DMS/3/24