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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| 企業作者: | |
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| 其他作者: | , , , |
| 格式: | Livre numérique |
| 語言: | Anglais |
| 出版: |
Boston, MA :
Birkhäuser Boston
[20..].
Cham : Springer Nature |
| 版: | 1st ed. 2005. |
| 叢編: | Progress in Mathematics
239 |
| 主題: | |
| 在線閱讀: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| 提示: |
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 |
| 總結: | 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 |
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| Item Description: | 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) |
| 格式: | Nécessite un lecteur de fichier PDF |
| 參考書目: | Notes bibliogr. en fin de chapitres |
| ISBN: | 9780817644475 |
| ISSN: | 2296-505X |
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