Gaussian maps and generic vanishing I: subvarieties of abelian varieties
Algebraic Geometry
2014-01-30 v1
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. This paper is a reworking of part of arXiv:math/0310026v2 [math.AG], which contained a mistake.
Keywords
Cite
@article{arxiv.1401.7442,
title = {Gaussian maps and generic vanishing I: subvarieties of abelian varieties},
author = {Giuseppe Pareschi},
journal= {arXiv preprint arXiv:1401.7442},
year = {2014}
}
Comments
26 pages; to appear in the London Math. Soc. Lecture Note Series, volume in honor of Rob Lazarsfeld