Heegner Modules and Elliptic Curves: 1849 (Lecture Notes in Mathematics, 1849) - Softcover

Brown, Martin L.

 
9783540222903: Heegner Modules and Elliptic Curves: 1849 (Lecture Notes in Mathematics, 1849)
Softcover
ISBN 10: 3540222901 ISBN 13: 9783540222903
Publisher: Springer, 2004

Synopsis

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.

"synopsis" may belong to another edition of this title.

From the Back Cover

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.

"About this title" may belong to another edition of this title.

Publisher
Springer
Publication date
2004
Language
English
ISBN 10 
3540222901
ISBN 13 
9783540222903
Binding
Paperback
Number of pages
528