Heegner Modules and Elliptic Curves | EKB DL

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Heegner Modules and Elliptic Curves

Heegner Modules and Elliptic Curves

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.

Keywords

CURVESALGEBRAIC FIELDSHOMOLOGY THEORY

2004Book

Author(s)Martin L. Brown

PublisherSpringer Science & Business Media

ISBN9783540222903

LanguageEnglish

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