Heegner Modules and Elliptic Curves - E-book

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Heegner Modules And Elliptic Curves - ENG

Martin L. Brown

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Sinopsis

ISBN:	9783540444756
Formato:	Page Fidelity
Idioma:	Inglés
Editorial:	Springer Nature
Tema:	Matemáticas
Subtema:	Teoría dos Números
Año de publicación:	2004-08-30

Heegner points on both modular curves and elliptic curves over global fields of any characteristicÂ 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 conjectureÂ is equivalent to the Birch and Swinnerton-Dyer conjecture for the corresponding elliptic curves over global fields.

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