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Fourier transforms, generic vanishing theorems and polarizations of abelian varieties

Christopher D. Hacon
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Abstract

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

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Christopher D. Hacon. 1999-02-12. Fourier transforms, generic vanishing theorems and polarizations of abelian varieties. https://arxiv.org/abs/math/9902078

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