Algebraic Geometry Seminar
Brendan Hassett
Rice University
Density of integral points over function fields
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)
Thursday April 3, 2008 at 4:00 PM in SEO 636