UID:
edocfu_9958352911702883
Format:
1 online resource (264 p.)
ISBN:
9781400881857
Series Statement:
Annals of Mathematics Studies ; 67
Content:
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.
Note:
Frontmatter --
,
PREFACE --
,
CONTENTS --
,
CHAPTER I. PROFINITE GROUPS --
,
CHAPTER II. COHOMOLOGY OF PROFINITE GROUPS --
,
CHAPTER III. COHOMOLOGICAL DIMENSION --
,
CHAPTER IV. GALOIS COHOMOLOGY AND FIELD THEORY --
,
CHAPTER V. LOCAL CLASS FIELD THEORY --
,
CHAPTER VI. DUALITY --
,
BIBLIOGRAPHY
,
In English.
Language:
English
DOI:
10.1515/9781400881857
URL:
https://doi.org/10.1515/9781400881857
URL:
https://www.degruyter.com/isbn/9781400881857
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