Fourier transforms, generic vanishing theorems and polarizations of abelian varieties

1999/02/12 by Christopher D. Hacon, Hacon, Christopher D. · 1 citation
Mathematics · #14E05 #14K25 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14E05 #msc:14K25

paper · pdf · doi:10.48550/arxiv.math/9902078

10 pages

arxiv created 1999/02/12 · arxiv updated 2009/11/30

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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• Singularities of base loci on abelian varieties

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