**Elliptic Curves over Function Fields**

by Douglas Ulmer

**Publisher**: arXiv 2011**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.

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