Algebraic Number Theory — in honor of K. Iwasawa

Algebraic Number Theory — in honor of K. Iwasawa

Editor(s) J. Coates, R. Greenberg, B. Mazur, I. Satake

Adv. Stud. Pure Math., 17: 492pp. (1989). DOI: 10.2969/aspm/01710000

Abstract

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This volume is a collection of papers dedicated to Kenkichi Iwasawa on his 70th birthday, which took place on September 11, 1987. Some of the papers in this volume are based on the lectures delivered at the workshop on "Iwasawa Theory and Special Values of $L$-Functions" held at the Mathematical Sciences Research Institute in Berkeley, California on January 20-24, 1987.
...

This volume is a collection of papers dedicated to Kenkichi Iwasawa on his 70th birthday, which took place on September 11, 1987. Some of the papers in this volume are based on the lectures delivered at the workshop on "Iwasawa Theory and Special Values of $L$-Functions" held at the Mathematical Sciences Research Institute in Berkeley, California on January 20-24, 1987. For the convenience of the reader, a complete list of publications of Professor Iwasawa, along with brief comments on them, is added to the beginning of this volume. We hope this book will be a token of our hearty gratitude to and admiration of him, which we share with mathematicians throughout the world.

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Advanced Studies in Pure Mathematics, Volume 17

492 pp.

Rights: Copyright © 1989 Mathematical Society of Japan

Published: 1989

First available in Project Euclid: 17 June 2018

MathSciNet: MR1097604

Digital Object Identifier: 10.2969/aspm/01710000

ISBN: 9784864970754

Subjects:

Primary: 11-06

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TABLE OF CONTENTS
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Volume 17 title pages

Advanced Studies in Pure Mathematics Vol. 17, - (1989). Open Access

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Foreword

H. Morikawa , M. Nagata

Advanced Studies in Pure Mathematics Vol. 17, - (1989). Open Access

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Preface to the Present Volume

John Coates , Ralph Greenberg , Barry Mazur , Ichiro Satake

Advanced Studies in Pure Mathematics Vol. 17, - (1989). Open Access

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List of Publications of Kenkichi Iwasawa

Advanced Studies in Pure Mathematics Vol. 17, - (1989). Open Access

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Comments

Ichiro Satake , John Coates

Advanced Studies in Pure Mathematics Vol. 17, - (1989). Open Access

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CONTENTS

Advanced Studies in Pure Mathematics Vol. 17, - (1989). Open Access

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Explicit Universal Deformations of Galois Representations

N. Boston , B. Mazur

Advanced Studies in Pure Mathematics Vol. 17, 1-21 (1989). https://doi.org/10.2969/aspm/01710001 Open Access

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On $p$-adic $L$-functions Attached to Motives over $Q$

John Coates , Bernadette Perrin-Riou

Advanced Studies in Pure Mathematics Vol. 17, 23-54 (1989). https://doi.org/10.2969/aspm/01710023 Open Access

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Anderson–Ihara Theory: Gauss Sums and Circular Units

R. F. Coleman

Advanced Studies in Pure Mathematics Vol. 17, 55-72 (1989). https://doi.org/10.2969/aspm/01710055 Open Access

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$p$-adic Heights on Curves

Robert F. Coleman , Benedict H. Gross

Advanced Studies in Pure Mathematics Vol. 17, 73-81 (1989). https://doi.org/10.2969/aspm/01710073 Open Access

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A Note on Norm-Coherent Units in Certain $Z_{p}$-Extensions

Ehud de Shalit

Advanced Studies in Pure Mathematics Vol. 17, 83-88 (1989). https://doi.org/10.2969/aspm/01710083 Open Access

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On the Uniqueness of Frobenius Operator on Differential Equations

B. Dwork

Advanced Studies in Pure Mathematics Vol. 17, 89-96 (1989). https://doi.org/10.2969/aspm/01710089 Open Access

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Iwasawa Theory for $p$-adic Representations

Ralph Greenberg

Advanced Studies in Pure Mathematics Vol. 17, 97-137 (1989). https://doi.org/10.2969/aspm/01710097 Open Access

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On Nearly Ordinary Hecke Algebras for $GL(2)$ over Totally Real Fields

Haruzo Hida

Advanced Studies in Pure Mathematics Vol. 17, 139-169 (1989). https://doi.org/10.2969/aspm/01710139 Open Access

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Iwasawa Modules up to Isomorphism

Uwe Jannsen

Advanced Studies in Pure Mathematics Vol. 17, 171-207 (1989). https://doi.org/10.2969/aspm/01710171 Open Access

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Perversity and Exponential Sums

Nicholas M. Katz

Advanced Studies in Pure Mathematics Vol. 17, 209-259 (1989). https://doi.org/10.2969/aspm/01710209 Open Access

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Cyclotomic $Z_{p}$-extensions of $Q(\sqrt{-1})$ and $Q(\sqrt{-3})$

Yûji Kida

Advanced Studies in Pure Mathematics Vol. 17, 261-265 (1989). https://doi.org/10.2969/aspm/01710261 Open Access

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Remarks on the Theorems of Takagi and Furtwängler

Tomio Kubota

Advanced Studies in Pure Mathematics Vol. 17, 267-270 (1989). https://doi.org/10.2969/aspm/01710267 Open Access

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Behavior of the Zeta-Function of Open Surfaces at $s=1$

S. Lichtenbaum

Advanced Studies in Pure Mathematics Vol. 17, 271-287 (1989). https://doi.org/10.2969/aspm/01710271 Open Access

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Arrangements of Hyperplanes, Higher Braid Groups and Higher Bruhat Orders

Yu. I. Manin , V. V. Schechtman

Advanced Studies in Pure Mathematics Vol. 17, 289-308 (1989). https://doi.org/10.2969/aspm/01710289 Open Access

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Fine Estimates for the Growth of $e_{n}$ in $Z_{p}^{d}$-Extensions

P. Monsky

Advanced Studies in Pure Mathematics Vol. 17, 309-330 (1989). https://doi.org/10.2969/aspm/01710309 Open Access

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A Lower Bound of $L_{p}(1, \chi)$ for a Dirichlet Character $\chi$

Yasuo Morita

Advanced Studies in Pure Mathematics Vol. 17, 331-346 (1989). https://doi.org/10.2969/aspm/01710331 Open Access

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Variation de la fonction $L$ $p$-adique par isogénie

B. Perrin-Riou

Advanced Studies in Pure Mathematics Vol. 17, 347-358 (1989). https://doi.org/10.2969/aspm/01710347 Open Access

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Bimodules and Abelian Surfaces

Kenneth A. Ribet

Advanced Studies in Pure Mathematics Vol. 17, 359-407 (1989). https://doi.org/10.2969/aspm/01710359 Open Access

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Tate–Shafarevich Groups of Elliptic Curves with Complex Multiplication

Karl Rubin

Advanced Studies in Pure Mathematics Vol. 17, 409-419 (1989). https://doi.org/10.2969/aspm/01710409 Open Access

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Motivic Iwasawa Theory

Peter Schneider

Advanced Studies in Pure Mathematics Vol. 17, 421-456 (1989). https://doi.org/10.2969/aspm/01710421 Open Access

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On Sinnott’s Proof of the Vanishing of the Iwasawa Invariant $\mu_{p}$

Lawrence C. Washington

Advanced Studies in Pure Mathematics Vol. 17, 457-462 (1989). https://doi.org/10.2969/aspm/01710457 Open Access

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On Eisenstein’s Copy of the Disquisitiones

André Weil

Advanced Studies in Pure Mathematics Vol. 17, 463-469 (1989). https://doi.org/10.2969/aspm/01710463 Open Access

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Duality Theorems for Abelian Varieties over $Z_{p}$-extensions

Kay Wingberg

Advanced Studies in Pure Mathematics Vol. 17, 471-492 (1989). https://doi.org/10.2969/aspm/01710471 Open Access

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