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: Geometry of Numbers with Applications to Number TheoryGeometry of Numbers with Applications to Number Theory
by - University of Georgia
The goal is to find and explore open questions in both geometry of numbers -- e.g. Lattice Point Enumerators, the Ehrhart-Polynomial, Minkowski's Convex Body Theorems, Minkowski-Hlawka Theorem, ... -- and its applications to number theory.
(5349 views)
Book cover: Modular Forms, Hecke Operators, and Modular Abelian VarietiesModular Forms, Hecke Operators, and Modular Abelian Varieties
by - University of Washington
Contents: The Main objects; Modular representations and algebraic curves; Modular Forms of Level 1; Analytic theory of modular curves; Modular Symbols; Modular Forms of Higher Level; Newforms and Euler Products; Hecke operators as correspondences...
(5487 views)
Book cover: Notes on Fermionic Fock Space for Number TheoristsNotes on Fermionic Fock Space for Number Theorists
by - The University of Arizona
This is a compilation of exercises, worked examples and key references that the author compiled in order to help readers learn their way around fermionic Fock space. The text is suitable for use by graduate students with an interest in number theory.
(7527 views)
Book cover: Introduction to Shimura VarietiesIntroduction to Shimura Varieties
by
This is an introduction to the theory of Shimura varieties, or, in other words, to the arithmetic theory of automorphic functions and holomorphic automorphic forms. Because of their brevity, many proofs have been omitted or only sketched.
(4968 views)