书目名称 | Heegner Modules and Elliptic Curves |
编辑 | Martin L. Brown |
视频video | |
概述 | Includes supplementary material: |
丛书名称 | Lecture Notes in Mathematics |
图书封面 |  |
描述 | .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.. |
出版日期 | Book 2004 |
关键词 | Drinfeld Modules; Elliptic Curves; Heegner Points; Tate Conjecture; Tate-Shafarevich Groups; finite field |
版次 | 1 |
doi | https://doi.org/10.1007/b98488 |
isbn_softcover | 978-3-540-22290-3 |
isbn_ebook | 978-3-540-44475-6Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
issn_series | 0075-8434 |
copyright | Springer-Verlag Berlin Heidelberg 2004 |