Gregory Pearlstein

On the zero locus of a normal function

Abstract: Using the theory of degenerations of mixed Hodge structure, we prove that the zero locus of a normal function defined on a Zariski open subset of a smooth complex projective variety S is algebraic in the case where S is a curve, and discuss progress on the case where dim S>1. As part of this program, we construct limit Abel-Jacobi maps.