Field arithmetic / Michael D. Fried, Moshe Jarden.
Field Arithmetic explores Diophantine fields through their absolute Galois groups. This largely self-contained treatment starts with techniques from algebraic geometry, number theory, and profinite groups. Graduate students can effectively learn generalizations of finite field ideas. We use Haar mea...
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| Main Authors: | , |
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| Format: | Ebook |
| Language: | English |
| Published: |
Berlin ; New York :
Springer,
[2005]
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| Edition: | Second edition, revised and enlarged / |
| Series: | Ergebnisse der Mathematik und ihrer Grenzgebiete ;
3. Folge, Bd. 11. |
| Subjects: | |
| Online Access: | Springer eBooks |
| Summary: | Field Arithmetic explores Diophantine fields through their absolute Galois groups. This largely self-contained treatment starts with techniques from algebraic geometry, number theory, and profinite groups. Graduate students can effectively learn generalizations of finite field ideas. We use Haar measure on the absolute Galois group to replace counting arguments. New Chebotarev density variants interpret diophantine properties. Here we have the only complete treatment of Galois stratifications, used by Denef and Loeser, et al, to study Chow motives of Diophantine statements. Progress from the fi. |
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| Physical Description: | 1 online resource (xxii, 780 pages) : illustrations. |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: | 3540772693 9783540772699 3540269495 9783540269496 3540772707 9783540772705 |
| ISSN: | 0071-1136 ; |