Harvard-MIT Algebraic Geometry Seminar

Density of integral points over function fields Click here for pdf

Brendan Hassett Rice

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. (This is joint work with Tschinkel.)

Tuesday November 6th 3:00 p.m. Harvard Science Center 507