Logo

Elliptic Curves over Function Fields

Small book cover: Elliptic Curves over Function Fields

Elliptic Curves over Function Fields
by

Publisher: arXiv
Number of pages: 72

Description:
These are the notes from a course of five lectures at the 2009 Park City Math Institute. The focus is on elliptic curves over function fields over finite fields. In the first three lectures, we explain the main classical results (mainly due to Tate) on the Birch and Swinnerton-Dyer conjecture in this context and its connection to the Tate conjecture about divisors on surfaces.

Home page url

Download or read it online for free here:
Download link
(670KB, PDF)

Similar books

Book cover: A set of new Smarandache functions, sequences and conjectures in number theoryA set of new Smarandache functions, sequences and conjectures in number theory
by - American Research Press
The fascinating Smarandache's universe is halfway between the recreational mathematics and the number theory. This book presents new Smarandache functions, conjectures, solved and unsolved problems, new type sequences and new notions in number theory.
(7229 views)
Book cover: The Smarandache FunctionThe Smarandache Function
by - Erhus University Press
The function in the title is originated from the Romanian mathematician Florentin Smarandache, who has significant contributions in mathematics and literature. This text introduces the Smarandache function and discusses its generalisations.
(6200 views)
Book cover: Algorithms for Modular Elliptic CurvesAlgorithms for Modular Elliptic Curves
by - Cambridge University Press
The author describes the construction of modular elliptic curves giving an algorithm for their computation. Then algorithms for the arithmetic of elliptic curves are presented. Finally, the results of the implementations of the algorithms are given.
(9615 views)
Book cover: Essays on the Theory of NumbersEssays on the Theory of Numbers
by - The Open Court Publishing
This is a book combining two essays: 'Continuity and irrational numbers' - Dedekind's way of defining the real numbers from rational numbers; and 'The nature and meaning of numbers' where Dedekind offers a precise explication of the natural numbers.
(7161 views)