Galois Representations and Arithmetic Algebraic Geometry

Symposium on Galois Representations and Arithmetic Algebraic Geometry

October 14–16, 1985 and January 7–11, 1986 | Kyoto University and University of Tokyo

Editor(s) Y. Ihara

Adv. Stud. Pure Math., 12: 373pp. (1987). DOI: 10.2969/aspm/01210000

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Advanced Studies in Pure Mathematics, Volume 12

373 pp.

Published: 1987

First available in Project Euclid: 30 May 2018

MathSciNet: MR0948233

Digital Object Identifier: 10.2969/aspm/01210000

ISBN: 9784864970709

Subjects:

Primary: 11-06

Secondary: 14-06

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Mathematical Society of Japan

TABLE OF CONTENTS
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Volume 12 title pages

Advanced Studies in Pure Mathematics Vol. 12, - (1987). Open Access

Foreword

H. Morikawa , M. Nagata

Advanced Studies in Pure Mathematics Vol. 12, - (1987). Open Access

Preface to the Present Volume

Y. Ihara

Advanced Studies in Pure Mathematics Vol. 12, - (1987). Open Access

CONTENTS

Advanced Studies in Pure Mathematics Vol. 12, - (1987). Open Access

Gauss Sum, Jacobi Sum, Circular Units

The Hyperadelic Gamma Function: A Précis

Greg W. Anderson

Advanced Studies in Pure Mathematics Vol. 12, 1-19 (1987). https://doi.org/10.2969/aspm/01210001 Open Access

The Gross–Koblitz Formula

Robert F. Coleman

Advanced Studies in Pure Mathematics Vol. 12, 21-52 (1987). https://doi.org/10.2969/aspm/01210021 Open Access

The Non-Vanishing of a Certain Kummer Character $\chi_{m}$ (after C. Soulé), and Some Related Topics

H. Ichimura, K. Sakaguchi

Advanced Studies in Pure Mathematics Vol. 12, 53-64 (1987). https://doi.org/10.2969/aspm/01210053 Open Access

On Some Properties of the Universal Power Series for Jacobi Sums

Yasutaka Ihara, Masanobu Kaneko, Atsushi Yukinari

Advanced Studies in Pure Mathematics Vol. 12, 65-86 (1987). https://doi.org/10.2969/aspm/01210065 Open Access

On the $l$-Adic Expansion of Certain Gauss Sums and Its Applications

Hiroo Miki

Advanced Studies in Pure Mathematics Vol. 12, 87-118 (1987). https://doi.org/10.2969/aspm/01210087 Open Access

Some Observations on Jacobi Sums

Tetsuji Shioda

Advanced Studies in Pure Mathematics Vol. 12, 119-135 (1987). https://doi.org/10.2969/aspm/01210119 Open Access

Braid Groups and Galois Representations

On the Automorphism Group of Some Pro-$l$ Fundamental Groups

Mamoru Asada, Masanobu Kaneko

Advanced Studies in Pure Mathematics Vol. 12, 137-159 (1987). https://doi.org/10.2969/aspm/01210137 Open Access

Linear Representations of the Galois Group over Local Fields

Hiroaki Hijikata

Advanced Studies in Pure Mathematics Vol. 12, 161-171 (1987). https://doi.org/10.2969/aspm/01210161 Open Access

Some Problems on Three Point Ramifications and Associated Large Galois Representations

Yasutaka Ihara

Advanced Studies in Pure Mathematics Vol. 12, 173-188 (1987). https://doi.org/10.2969/aspm/01210173 Open Access

One-Parameter Family of Linear Representations of Artin’s Braid Groups

Toshitake Kohno

Advanced Studies in Pure Mathematics Vol. 12, 189-199 (1987). https://doi.org/10.2969/aspm/01210189 Open Access

The Lower Central Series of the Pure Braid Group of an Algebraic Curve

Toshitake Kohno, Takayuki Oda

Advanced Studies in Pure Mathematics Vol. 12, 201-219 (1987). https://doi.org/10.2969/aspm/01210201 Open Access

Curves and Abelian Varieties

On a Question Arising from Complex Multiplication Theory

Greg W. Anderson

Advanced Studies in Pure Mathematics Vol. 12, 221-234 (1987). https://doi.org/10.2969/aspm/01210221 Open Access

Torsion Points on Curves

Robert F. Coleman

Advanced Studies in Pure Mathematics Vol. 12, 235-247 (1987). https://doi.org/10.2969/aspm/01210235 Open Access

On Algebraic Groups of Mumford–Tate Type

Takashi Ichikawa

Advanced Studies in Pure Mathematics Vol. 12, 249-258 (1987). https://doi.org/10.2969/aspm/01210249 Open Access

On the Quotients of the Fundamental Group of an Algebraic Curve

Shōichi Nakajima

Advanced Studies in Pure Mathematics Vol. 12, 259-264 (1987). https://doi.org/10.2969/aspm/01210259 Open Access

Vanishing Cycles and Differentials of Curves over a Discrete Valuation Ring

Takeshi Saito

Advanced Studies in Pure Mathematics Vol. 12, 265-286 (1987). https://doi.org/10.2969/aspm/01210265 Open Access

Class Field Theory, General Ramification Theory

Wild Ramification in the Imperfect Residue Field Case

Osamu Hyodo

Advanced Studies in Pure Mathematics Vol. 12, 287-314 (1987). https://doi.org/10.2969/aspm/01210287 Open Access

Swan Conductors with Differential Values

Kazuya Kato

Advanced Studies in Pure Mathematics Vol. 12, 315-342 (1987). https://doi.org/10.2969/aspm/01210315 Open Access

Class Field Theory for Two Dimensional Local Rings

Shuji Saito

Advanced Studies in Pure Mathematics Vol. 12, 343-373 (1987). https://doi.org/10.2969/aspm/01210343 Open Access

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