Heegner Modules and Elliptic Curves
by Martin L. Brown
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.
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1
Heegner Modules and Elliptic Curves
August 26, 2004, Springer
Paperback
in English
- 1 edition
3540222901 9783540222903
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2
Heegner Modules and Elliptic Curves
2004, Springer London, Limited
in English
3540444750 9783540444756
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Book Details
First Sentence
"The points of departure of this text are twofold: first the proof by Drinfeld in 1974 ([Drl], see also Appendix B) of an important case of the Langlands conjecture for GL2 over a global field of positive characteristic and second the proof by Kolyvagin [K] in 1989 of the Birch Swinnerton-Dyer conjecture for a class of Weil elliptic curves over the rational field Q."
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