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...
Đã lưu trong:
| Tác giả chính: | |
|---|---|
| Định dạng: | Livre numérique |
| Ngôn ngữ: | Anglais |
| Được phát hành: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Loạt: | Lecture notes in mathematics
1849 |
| Những chủ đề: | |
| Truy cập trực tuyến: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Chú thích: |
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 |
Mục lục:
- 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.