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Multiplicative Galois Module Structure
Seiten
1996
American Mathematical Society (Verlag)
978-0-8218-0265-6 (ISBN)
American Mathematical Society (Verlag)
978-0-8218-0265-6 (ISBN)
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Based on a short course on the Galois structure of $S$-units that was given at The Fields Institute in the fall of 1993, this book features the main theme that this structure should be determined by class field theory, in its cohomological form, and by the behavior of Artin $L$-functions at $s=0$.
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.
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.
Overview From class field theory Extension classes Locally free class groups Tate sequences Recognizing $G$-modules Local analogue $/Omega _m$ and the $G$-module structure of $E$ Artin $L$-functions at $s=0$ $q$-indices Parallel properties of$A_/varphi$ and $A_/varphi$ $/mathbb Q$-valued characters Representing the Chinburg class Small $S$ A cyclotomic example Notes Bibliography Subject index.
Erscheint lt. Verlag | 30.5.1996 |
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Reihe/Serie | Fields Institute Monographs |
Verlagsort | Providence |
Sprache | englisch |
Gewicht | 478 g |
Themenwelt | Mathematik / Informatik ► Mathematik ► Algebra |
Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie | |
ISBN-10 | 0-8218-0265-8 / 0821802658 |
ISBN-13 | 978-0-8218-0265-6 / 9780821802656 |
Zustand | Neuware |
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