Greg Pearlstein : The locus of the Hodge classes in admissible variations of mixed Hodge structure

Posted by , part of the Algebraic Geometry Seminar.

At

Feb. 23, 2011, 4 p.m.

In

SEO 1227

Abstract

Let S' be a Zariski-open subset of a complex manifold S, and let V be a variation of mixed Hodge structure on S'. Suppose that V is defined over the integers, graded polarizable, and admissible with respect to S. Let Hdg(V) denote the locus of Hodge classes in V . Then each component of Hdg(V) extends to an analytic space, finite and proper over S.