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arXiv · 1401.7442

Gaussian maps and generic vanishing I: subvarieties of abelian varieties

Giuseppe Pareschi
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Abstract

We present an approach to Green-Lazarsfeld's generic vanishing combining gaussian maps and the Fourier-Mukai transform associated to the Poincarè line bundle. As an application we prove the Generic Vanishing Theorem for all normal Cohen-Macaulay subvarieties of abelian varieties over an algebraically closed field. This paper is a reworking of part of arXiv:math/0310026v2 [math.AG], which contained a mistake.

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Giuseppe Pareschi. 2014-01-29. Gaussian maps and generic vanishing I: subvarieties of abelian varieties. https://arxiv.org/abs/1401.7442

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