Number fields and function fields : two parallel worlds
Ever since the analogy between number fields and function fields was discovered, it has been a source of inspiration for new ideas, and a long history has not in any way detracted from the appeal of the subject. As a deeper understanding of this analogy could have tremendous consequences, the search...
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| Other Authors: | , , , |
| Format: | Livre numérique |
| Language: | Anglais |
| Published: |
Boston, MA :
Birkhäuser Boston
[20..].
Cham : Springer Nature |
| Edition: | 1st ed. 2005. |
| Series: | Progress in Mathematics
239 |
| Subjects: | |
| Online Access: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Note: |
Publié à l'occasion de la 4e Texel Conference, "The analogy between number fields and function fields", tenue à Texel la dernière semaine d'avril 2004 L'accès complet à la ressource est réservé aux usagers des établissements qui en ont fait l'acquisition Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Number fields and function fields, two parallel worlds, Gerard van der Geer, Ben Moonen, René Schoof, editors, 2005, Boston, Birkhäuser, 1 vol. (XIII-318 p.), Progress in mathematics, 978-0-8176-4397-3 • Number Fields and Function Fields - Two Parallel Worlds, Texte imprimé, 9780817671051 • Number fields and function fields, two parallel worlds, Gerard van der Geer, Ben Moonen, René Schoof, editors, 2005, Boston, Birkhäuser, 1 vol. (XIII-318 p.), Progress in mathematics, 978-0-8176-4397-3 |
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| 245 | 1 | 0 | |a Number fields and function fields : |b two parallel worlds |c Gerard van der Geer, Ben Moonen, René Schoof, editors. |
| 250 | |a 1st ed. 2005. | ||
| 260 | |a Boston, MA : |b Birkhäuser Boston. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 1 | |a Progress in Mathematics |v 239 |x 2296-505X | |
| 500 | |a Publié à l'occasion de la 4e Texel Conference, "The analogy between number fields and function fields", tenue à Texel la dernière semaine d'avril 2004 | ||
| 500 | |a L'accès complet à la ressource est réservé aux usagers des établissements qui en ont fait l'acquisition | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Notes bibliogr. en fin de chapitres | ||
| 505 | 1 | |a Arithmetic over Function Fields: A Cohomological Approach Algebraic Stacks Whose Number of Points over Finite Fields is a Polynomial On a Problem of Miyaoka Monodromy Groups Associated to Non-Isotrivial Drinfeld Modules in Generic Characteristic Irreducible Values of Polynomials: A Non-Analogy Schemes over Line Bundles and p-Adic Characters Arithmetic Eisenstein Classes on the Siegel Space: Some Computations Uniformizing the Stacks of Abelian Sheaves Faltings Delta-Invariant of a Hyperelliptic Riemann Surface A Hirzebruch Proportionality Principle in Arakelov Geometry On the Height Conjecture for Algebraic Points on Curves Defined over Number Fields A Note on Absolute Derivations and Zeta Functions On the Order of Certain Characteristic Classes of the Hodge Bundle of Semi-Abelian Schemes A Note on the Manin-Mumford Conjecture | |
| 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 Ever since the analogy between number fields and function fields was discovered, it has been a source of inspiration for new ideas, and a long history has not in any way detracted from the appeal of the subject. As a deeper understanding of this analogy could have tremendous consequences, the search for a unified approach has become a sort of Holy Grail. The arrival of Arakelov's new geometry that tries to put the archimedean places on a par with the finite ones gave a new impetus and led to spectacular success in Faltings' hands. There are numerous further examples where ideas or techniques from the more geometrically-oriented world of function fields have led to new insights in the more arithmetically-oriented world of number fields, or vice versa. These invited articles by leading researchers in the field explore various aspects of the parallel worlds of function fields and number fields. Topics range from Arakelov geometry, the search for a theory of varieties over the field with one element, via Eisenstein series to Drinfeld modules, and t-motives. This volume is aimed at a wide audience of graduate students, mathematicians, and researchers interested in geometry and arithmetic and their connections. Contributors: G. Böckle; T. van den Bogaart; H. Brenner; F. Breuer; K. Conrad; A. Deitmar; C. Deninger; B. Edixhoven; G. Faltings; U. Hartl; R. de Jong; K. Köhler; U. Kühn; J.C. Lagarias; V. Maillot; R. Pink; D. Roessler; and A. Werner | ||
| 538 | |a Nécessite un lecteur de fichier PDF | ||
| 650 | |a Corps algébriques | ||
| 650 | |a Corps finis | ||
| 650 | |a Actes de congrès | ||
| 700 | 1 | |a van der Geer, Gerard B M. |4 pbd | |
| 700 | 1 | |a Geer, Gerard van der, |d 1950-...., |c mathématicien. |4 pbd | |
| 700 | 1 | |a Moonen, Ben, |d 19..- |4 pbd | |
| 700 | 1 | |a Schoof, René, |d 1955-...., |c mathématicien. |4 pbd | |
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| 776 | 0 | |t Number Fields and Function Fields - Two Parallel Worlds |b Texte imprimé |z 9780817671051 | |
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