Basics of elliptic curves

Written by Thong D. Nguyen Monday, 05 July 2010 10:13

Reference - Number Theory

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Elliptic curves are the simplest algebraic curves that are not completely understood. In fact, they have a rich structure that makes their study very attractive. Many important questions remain open yet there has been incredible recent progress towards our understanding of elliptic curves.
In this lecture our primary goal is to describe the conjecture of Birch and Swinnerton-Dyer. In order to reach this goal in one lecture it was necessary to only describe the bare necessities. The books by Knapp [Kn] and Silverman [Si1] are good choices for further study.

Attachments:

ecc.pdf

90 Kb

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