Multiplicative Galois Module Structure
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A01=American Mathematical Society
Author_American Mathematical Society
Category=PBF
Category=PBH
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Product details
- ISBN 9780821802656
- Weight: 478g
- Publication Date: 30 May 1996
- Publisher: American Mathematical Society
- Publication City/Country: US
- Product Form: Hardback
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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.
