Multiplicative Galois Module Structure
( Fields Institute Monographs )
Publication series ：Fields Institute Monographs
Author： A. Weiss
Publisher： American Mathematical Society
Publication year： 1996
E-ISBN: 9781470431327
P-ISBN(Hardback): 9780821802656
Subject： O156.2 theory of algebraic numbers
Keyword： 暂无分类
Language： ENG
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Multiplicative Galois Module Structure
Description
This book is the result of a short course on the Galois structure of $S$-units that was given at The Fields Institute in the fall of 1993. Offering a new angle on an old problem, the main theme is that this structure should be determined by class field theory, in its cohomological form, and by the behavior of Artin $L$-functions at $s=0$. A proof of this—or even a precise formulation—is still far away, but the available evidence all points in this direction. The work brings together the current evidence that the Galois structure of $S$-units can be described.
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