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Heegner Modules and Elliptic Curves
Paperback
Series: Lecture Notes in Mathematics, Book 1849
ISBN13: 9783540222903
Publisher: Springer Nature
Published: Jul 15 2004
Pages: 518
Weight: 1.62
Height: 1.07 Width: 6.14 Depth: 9.21
Language: English
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.
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