Profinite Groups, Arithmetic, and Geometry
In this volume, the author covers profinite groups and their cohomology, Galois cohomology, and local class field theory, and concludes with a treatment of duality. His objective is to present effectively that body of material upon which all modern research in Diophantine geometry and higher arithmetic is based, and to do so in a manner that emphasizes the many interesting lines of inquiry leading from these foundations.

1147760357
Profinite Groups, Arithmetic, and Geometry
In this volume, the author covers profinite groups and their cohomology, Galois cohomology, and local class field theory, and concludes with a treatment of duality. His objective is to present effectively that body of material upon which all modern research in Diophantine geometry and higher arithmetic is based, and to do so in a manner that emphasizes the many interesting lines of inquiry leading from these foundations.

110.0 In Stock
Profinite Groups, Arithmetic, and Geometry

Profinite Groups, Arithmetic, and Geometry

by Stephen S. Shatz
Profinite Groups, Arithmetic, and Geometry

Profinite Groups, Arithmetic, and Geometry

by Stephen S. Shatz

Paperback

$110.00 
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Overview

In this volume, the author covers profinite groups and their cohomology, Galois cohomology, and local class field theory, and concludes with a treatment of duality. His objective is to present effectively that body of material upon which all modern research in Diophantine geometry and higher arithmetic is based, and to do so in a manner that emphasizes the many interesting lines of inquiry leading from these foundations.


Product Details

ISBN-13: 9780691080178
Publisher: Princeton University Press
Publication date: 03/21/1972
Series: Annals of Mathematics Studies , #67
Pages: 264
Product dimensions: 6.00(w) x 9.00(h) x (d)

Table of Contents

  • Frontmatter, pg. i
  • PREFACE, pg. vii
  • CONTENTS, pg. ix
  • CHAPTER I. PROFINITE GROUPS, pg. 1
  • CHAPTER II. COHOMOLOGY OF PROFINITE GROUPS, pg. 16
  • CHAPTER III. COHOMOLOGICAL DIMENSION, pg. 53
  • CHAPTER IV. GALOIS COHOMOLOGY AND FIELD THEORY, pg. 93
  • CHAPTER V. LOCAL CLASS FIELD THEORY, pg. 129
  • CHAPTER VI. DUALITY, pg. 183
  • BIBLIOGRAPHY, pg. 248



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