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Heegner Modules and Elliptic Curves - Lecture Notes in Mathematics Martin L. Brown 2004 edition
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Heegner Modules and Elliptic Curves - Lecture Notes in Mathematics
Martin L. Brown
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.
518 pages, biography
| Media | Bøker Pocketbok (Bok med mykt omslag og limt rygg) |
| Utgitt | 15. juli 2004 |
| ISBN13 | 9783540222903 |
| Utgivere | Springer-Verlag Berlin and Heidelberg Gm |
| Antall sider | 518 |
| Mål | 156 × 234 × 27 mm · 734 g |
| Språk | Engelsk |