Fourier transforms, generic vanishing theorems and polarizations of abelian varieties

摘要

The purpose of this paper is to give two applications of Fourier transforms and generic vanishing theorems: - we give a cohomological characterization of principal polarizations - we prove that if X an abelian variety and Theta a polarization of type (1,..., 1, 2), then a general pair (X, Theta) is log canonical. [References: 17]