Title: Theta divisors with curve summands and the Schottky problem
Speaker: Stefan Schreieder
Speaker Info: University of Bonn
Brief Description:
Special Note:
Abstract:
By Riemann’s theorem, the theta divisor of the Jacobian J(C) of a smooth genus g curve C can be identified with the (g-1)-fold sum of the Abel-Jacobi image of C in J(C). I will talk about the following converse: If the theta divisor of an indecomposable principally polarized abelian variety A can be written as the sum of a curve C and a codimension two subvariety Y in A, then C is smooth and A is isomorphic to the Jacobian J(C).Date: Tuesday, December 02, 2014