Generic vanishing and minimal cohomology classes on abelian varieties
Algebraic Geometry
2007-06-26 v2
Abstract
We establish a, and conjecture further, relationship between the existence of subvarieties representing minimal cohomology classes on principally polarized abelian varieties, and the generic vanishing of certain sheaf cohomology. The main ingredient is the Generic Vanishing criterion of math.AG/0608127, based on the Fourier-Mukai transform.
Keywords
Cite
@article{arxiv.math/0610166,
title = {Generic vanishing and minimal cohomology classes on abelian varieties},
author = {Giuseppe Pareschi and Mihnea Popa},
journal= {arXiv preprint arXiv:math/0610166},
year = {2007}
}
Comments
12 pages; final version, to appear in Math. Annalen; contains expository changes and a proof in the case of abelian varieties of the generic vanishing criterion we use, according to suggestions from the referee