Multiplicative Galois module structure
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…
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- Full title :Multiplicative Galois module structure / A. Weiss.
Summary
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.
Read More ↓Edition Statements
- Publication Date:©1996.
Publication Statements
- Publisher(s):American mathematical Society
- Place of Publication:Providence, R.I
- Language:eng
- Publication Date:©1996.
The Physical Object
- Description:vii, 95 pages : : illustrations ; : 26 cm
Edition Identifiers
- ISBN:0821802658, 9780821802656
- oclc:ocm34320344
- LC Classification:QA247
- Dewey Decimal:512/.74
Table of Contents
Ch. 1. Overview -- Ch. 2. From class field theory -- Ch. 3. Extension classes -- Ch. 4. Locally free class groups -- Ch. 5. Tate sequences -- Ch. 6. Recognizing G-modules -- Ch. 7. Local analogue -- Ch. 8. [Omega subscript m] and the G-module structure of E -- Ch. 9. Artin L-functions at s = 0 -- Ch. 10. q-indices -- Ch. 11. Parallel properties of A[actual symbol not reproducible] and q[actual symbol not reproducible] -- Ch. 12. Q-valued characters -- Ch. 13. Representing the Chinburg class -- Ch. 14. Small S -- Ch. 15. A cyclotomic example -- Ch. 16. Notes.
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