Algebraic Geometry Seminar

Christian Schnell
UIC
Complex analytic Neron models
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.
Thursday September 10, 2009 at 4:00 PM in SEO 636
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