Fourier transforms, generic vanishing theorems and polarizations of abelian varieties
Abstract
Description
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 $Θ$ a polarization of type $(1,...,1,2)$, then a general pair $(X,Θ)$ is log canonical
10 pages
10 pages