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...
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Livre numérique |
| Lenguaje: | Anglais |
| Publicado: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Edición: | Second Edition. |
| Colección: | Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics
11 |
| Acceso en línea: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
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 |
| LEADER | 04729nam a22003737a 4500 | ||
|---|---|---|---|
| 001 | 948173 | ||
| 008 | 080409q2000 xx ||| |||| 00| 0 eng d | ||
| 009 | PPN123087090 | ||
| 020 | |a 9783540269496 | ||
| 041 | 0 | |a eng | |
| 082 | |a 512 | ||
| 100 | 1 | |a Fried, Michael D., |d 1942- | |
| 240 | 1 | 0 | |a Revised and Enlarged by Moshe Jarden |
| 245 | 1 | 0 | |a Field arithmetic |c by Michael D. Fried, Moshe Jarden. |
| 250 | |a Second Edition. | ||
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics |v 11 |x 2197-5655 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 1 | |a 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 | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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 first edition starts by characterizing the finite-field like P(seudo)A(lgebraically)C(losed) fields. We once believed PAC fields were rare. Now we know they include valuable Galois extensions of the rationals that present its absolute Galois group through known groups. PAC fields have projective absolute Galois group. Those that are Hilbertian are characterized by this group being pro-free. These last decade results are tools for studying fields by their relation to those with projective absolute group. There are still mysterious problems to guide a new generation: Is the solvable closure of the rationals PAC; and do projective Hilbertian fields have pro-free absolute Galois group (includes Shafarevich's conjecture)? | ||
| 700 | 1 | |a Jarden, Moshe, |d 1942- |4 aut | |
| 776 | 0 | |0 084707747 |t Field arithmetic |f Michael D. Fried, Moshe Jarden |e 2nd edition, rev. and enl. |c Berlin |n Springer |d 2005 |p 1 vol. (XXII-780 p.) |s Ergebnisse der Mathematik und ihrer Grenzgebiete |z 3-540-22811-X | |
| 776 | 0 | |t Field Arithmetic |b Texte imprimé |z 9783540803225 | |
| 776 | 0 | |0 084707747 |t Field arithmetic |f Michael D. Fried, Moshe Jarden |e 2nd edition, rev. and enl. |c Berlin |n Springer |d 2005 |p 1 vol. (XXII-780 p.) |s Ergebnisse der Mathematik und ihrer Grenzgebiete |z 3-540-22811-X | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/b138352 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-X0Q3F1D3-3 |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:748044612 |u https://ezproxy.univ-orleans.fr/login?url=https://dx.doi.org/10.1007/b138352 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:751495727 |u https://ezproxy.insa-cvl.fr/login?qurl=https://dx.doi.org/10.1007/b138352 |z Accès INSA CVL | |
| 997 | |0 948173 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||