Field arithmetic
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...
Enregistré dans:
| Auteurs principaux: | , |
|---|---|
| Format: | Livre numérique |
| Sprog: | Anglais |
| Udgivet: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Udgivelse: | Second Edition. |
| Serier: | Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics
11 |
| Online adgang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Kommentar: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Variante du titre: | Revised and Enlarged by Moshe Jarden |
| Edition sous un autre format: | • Field arithmetic, Michael D. Fried, Moshe Jarden, 2nd edition, rev. and enl., Berlin, Springer, 2005, 1 vol. (XXII-780 p.), Ergebnisse der Mathematik und ihrer Grenzgebiete, 3-540-22811-X • Field Arithmetic, Texte imprimé, 9783540803225 • Field arithmetic, Michael D. Fried, Moshe Jarden, 2nd edition, rev. and enl., Berlin, Springer, 2005, 1 vol. (XXII-780 p.), Ergebnisse der Mathematik und ihrer Grenzgebiete, 3-540-22811-X |
Indholdsfortegnelse:
- Infinite Galois Theory and Profinite Groups Valuations and Linear Disjointness Algebraic Function Fields of One Variable The Riemann Hypothesis for Function Fields Plane Curves The Chebotarev Density Theorem Ultraproducts Decision Procedures Algebraically Closed Fields Elements of Algebraic Geometry Pseudo Algebraically Closed Fields Hilbertian Fields The Classical Hilbertian Fields Nonstandard Structures Nonstandard Approach to Hilbert s Irreducibility Theorem Galois Groups over Hilbertian Fields Free Profinite Groups The Haar Measure Effective Field Theory and Algebraic Geometry The Elementary Theory of e-Free PAC Fields Problems of Arithmetical Geometry Projective Groups and Frattini Covers PAC Fields and Projective Absolute Galois Groups Frobenius Fields Free Profinite Groups of Infinite Rank Random Elements in Profinite Groups Omega-free PAC Fields Undecidability Algebraically Closed Fields with Distinguished Automorphisms Galois Stratification Galois Stratification over Finite Fields Problems of Field Arithmetic