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portada Heegner Modules and Elliptic Curves (Lecture Notes in Mathematics)
Type
Physical Book
Publisher
Year
2004
Language
English
Pages
532
Format
Paperback
ISBN
3540222901
ISBN13
9783540222903
Edition No.
2004

Heegner Modules and Elliptic Curves (Lecture Notes in Mathematics)

Martin L. Brown (Author) · Springer · Paperback

Heegner Modules and Elliptic Curves (Lecture Notes in Mathematics) - Martin L. Brown

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Synopsis "Heegner Modules and Elliptic Curves (Lecture Notes in Mathematics) "

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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