Heegner Modules and Elliptic Curves

Martin L. Brown

ISBN 10: 3540222901 / ISBN 13: 9783540222903

Published by Springer Vieweg, Springer, 2004

About this Item

Druck auf Anfrage Neuware - Printed after ordering - Heegner points on both modular curves and elliptic curves over global fields of any characteristicform 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 conjectureis equivalent to the Birch and Swinnerton-Dyer conjecture for the corresponding elliptic curves over global fields.

Seller Inventory # 9783540222903

Bibliographic Details

• Title: Heegner Modules and Elliptic Curves
• Publisher: Springer Vieweg, Springer
• Publication Date: 2004
• Language: English
• ISBN 10: 3540222901
• ISBN 13: 9783540222903
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 235W x 155H x 29D millimeters 235 millimeters width by 155 millimeters height by 29 millimeters depth
• Weight: 797 grams

About this title

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.