Martin L. Brown – författare
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4 produkter
4 produkter
Del 1849 - Lecture Notes in Mathematics
Heegner Modules and Elliptic Curves
Häftad, Engelska, 2004
546 kr
Skickas inom 10-15 vardagar
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.
E-bok
PDF, Engelska, 2004712 kr
Läs direkt efter köp
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.
E-bok
PDF, Engelska, 20131 733 kr
Läs direkt efter köp
Del 15 - Aspects of Mathematics
Lectures on the Mordell-Weil Theorem
Häftad, Engelska, 2013
1 407 kr
Skickas inom 10-15 vardagar
The book is based on a course given by J.-P. Serre at the College de France in 1980 and 1981. Basic techniques in Diophantine geometry are covered, such as heights, the Mordell-Weil theorem, Siegel's and Baker's theorems, Hilbert's irreducibility theorem, and the large sieve. Included are applications to, for example, Mordell's conjecture, the construction of Galois extensions, and the classical class number 1 problem. Comprehensive bibliographical references.