ENGLISH

Heegner Modules and Elliptic Curves

By Martin L. Brown (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2004
ISBN
3540222901, 9783540222903
DOI
10.1007/b98488
Open Library ID
OL9832163M
Language
english
Format
PDF
Filesize
2 MB (2305871 bytes)
Series
Lecture Notes in Mathematics 1849
Edition
1
Pages
518\520
Library
Kolxo3
Time added
2010-07-29 05:14:56
Number Theory; Algebraic Geometry

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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