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: Pluckings from the tree of Smarandache: Sequences and functionsPluckings from the tree of Smarandache: Sequences and functions
by - American Research Press
The third book in a series exploring the set of problems called Smarandache Notions. This work delves more deeply into the mathematics of the problems, the level of difficulty here will be somewhat higher than that of the previous books.
(12705 views)
Book cover: Lectures On Irregularities Of DistributionLectures On Irregularities Of Distribution
by - Tata Institute of Fundamental Research
The theory of Irregularities of Distribution began as a branch of Uniform Distributions, but is of independent interest. In these lectures the author restricted himself to distribution problems with a geometric interpretation.
(4934 views)
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.
(8204 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.
(10920 views)