Christian Schnell : Complex analytic Neron models

Posted by , part of the Algebraic Geometry Seminar.

At

Sept. 10, 2009, 4 p.m.

In

SEO 636

Abstract

I will present a global construction of the Neron model for degenerating families of intermediate Jacobians; a classical case would be families of abelian varieties. The construction is based on Saito's theory of mixed Hodge modules; a nice feature is that it works in any dimension, and does not require normal crossing or unipotent monodromy assumptions. As a corollary, we obtain a different proof for the theorem of Brosnan-Pearlstein and Saito that the closure of the zero locus of an admissible normal function without singularities remains analytic.