Fourier transforms, generic vanishing theorems and polarizations of abelian varieties

Details Fourier transforms, generic vanishing theorems and polarizations of abelian varieties Fourier transforms, generic vanishing theorems and polarizations of abelian varieties

1999-02-12

arxiv.org/abs/math/9902078v1

Mathematics

Algebraic Geometry

10 pages

Scientific paper

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

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