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- Includes supplementary material: sn.pub/extras
Part of the book series: Lecture Notes in Mathematics (LNM, volume 1849)
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Table of contents (10 chapters)
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Front Matter
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Back Matter
About this book
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.
Bibliographic Information
Book Title: Heegner Modules and Elliptic Curves
Authors: Martin L. Brown
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/b98488
Publisher: Springer Berlin, Heidelberg
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eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Berlin Heidelberg 2004
Softcover ISBN: 978-3-540-22290-3Published: 15 July 2004
eBook ISBN: 978-3-540-44475-6Published: 30 August 2004
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: X, 518
Topics: Number Theory, Algebraic Geometry