Polarizations of abelian varieties

Herbert Lange
Universität Erlangen-Nürnberg
Abstract:
One of the main problems of the geometric theory of abelian varieties is the following: Given a polarized abelian variety together with an abelian subvariety. Determine the type of the induced polarization on the abelian subvariety. After explaining the basics and in particular why one cannot expect a general result, I will give a survery on results of several papers on this problem which where obtained jointly with a group of Chilean Algebraic Geometers (R. Rodriguez, A. Rojas, A. Carocca, and R. Auffarth).