Heegner Modules and Elliptic Curves
Heegner points on both modular curves and elliptic curves over global fields of any characteristic form the topic of this research monograph. The Heegner module of an elliptic curve is an original concept introduced in this text. The computation of the cohomology of the Heegner module is the main te...
Kaydedildi:
| Yazar: | |
|---|---|
| Materyal Türü: | Livre numérique |
| Dil: | Anglais |
| Baskı/Yayın Bilgisi: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Seri Bilgileri: | Lecture notes in mathematics
1849 |
| Konular: | |
| Online Erişim: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Not: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Heegner modules and elliptic curves, M. L. Brown, 2004, Berlin, Springer, 1 vol. (X-517 p.), Lecture notes in mathematics, 3-540-22290-1 • Heegner Modules and Elliptic Curves, Texte imprimé, 9783662209325 |
| LEADER | 03017nam a22004097a 4500 | ||
|---|---|---|---|
| 001 | 969857 | ||
| 008 | 110927q2000 xxe ||| |||| 00| 0 eng d | ||
| 009 | PPN155180622 | ||
| 020 | |a 9783540444756 (PDF) | ||
| 041 | 0 | |a eng | |
| 082 | |a 516.352 | ||
| 082 | |a 510 | ||
| 100 | 1 | |a Brown, Martin L., |d 19..-...., |c mathématicien. | |
| 245 | 1 | 0 | |a Heegner Modules and Elliptic Curves |c Martin L. Brown. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1849 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Preface -- Introduction -- Preliminaries -- Bruhat-Tits trees with complex multiplication -- Heegner sheaves -- The Heegner module -- Cohomology of the Heegner module -- Finiteness of the Tate-Shafarevich groups -- Appendix A.: Rigid analytic modular forms -- Appendix B.: Automorphic forms and elliptic curves over function fields -- References -- Index. | |
| 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 Heegner points on both modular curves and elliptic curves over global fields of any characteristic form the topic of this research monograph. The Heegner module of an elliptic curve is an original concept introduced in this text. The computation of the cohomology of the Heegner module is the main technical result and is applied to prove the Tate conjecture for a class of elliptic surfaces over finite fields; this conjecture is equivalent to the Birch and Swinnerton-Dyer conjecture for the corresponding elliptic curves over global fields. | ||
| 650 | |a Courbes elliptiques | ||
| 650 | |a Corps algébriques | ||
| 650 | |a Homologie | ||
| 650 | |a Mathématiques | ||
| 650 | |a Nombres, Théorie des | ||
| 650 | |a Géométrie algébrique | ||
| 776 | 0 | |0 080019676 |t Heegner modules and elliptic curves |f M. L. Brown |d 2004 |c Berlin |n Springer |p 1 vol. (X-517 p.) |s Lecture notes in mathematics |z 3-540-22290-1 | |
| 776 | 0 | |t Heegner Modules and Elliptic Curves |b Texte imprimé |z 9783662209325 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/b98488 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-FLNPX4MT-6 |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:750669462 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/b98488 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:754018458 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/b98488 |z Accès INSA CVL | |
| 997 | |0 969857 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||