We present an approach to Green-Lazarsfeld's generic vanishing combining gaussian maps and the Fourier-Mukai transform associated to the Poincar`e 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.
Pareschi, G. (2015). Gaussian maps and generic vanishing I: Subvarieties of abelian varieties. In C. Hacon (a cura di), Recent Advances in Algebraic Geometry (pp. 370-404). Cambridge University Press [10.1007/9781107416000.019].
Gaussian maps and generic vanishing I: Subvarieties of abelian varieties
PARESCHI, GIUSEPPE
2015-01-01
Abstract
We present an approach to Green-Lazarsfeld's generic vanishing combining gaussian maps and the Fourier-Mukai transform associated to the Poincar`e 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.File in questo prodotto:
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