Brendan Hassett : Density of integral points over function fields

Posted by , part of the Algebraic Geometry Seminar.

At

April 3, 2008, 4 p.m.

In

SEO 636

Abstract

Consider a pair consisting of a smooth projective variety and a normal-crossings divisor, defined over the function field of a complex curve B. For a model (X,D)--->B, integral points are sections B--->X meeting D only over prescribed points of B. We present density results for integral points on log Fano pairs, e.g., when the normal bundle of D is effective and nontrivial. We also discuss some open problems. (joint with Tschinkel)