ENGLISH

Heegner Modules and Elliptic Curves

By Martin L. Brown

Book information

Publisher
Springer
Year
2004
ISBN
9783540222903, 3540222901
Open Library ID
OL9832163M
Language
english
Format
RAR
Filesize
4 MB (4393389 bytes)
Series
Lecture Notes in Mathematics
Edition
1
Pages
517\0
Library
mexmat
Time added
2009-07-20 03:45:11

Description

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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