English

A derived category approach to generic vanishing

Algebraic Geometry 2007-05-23 v1

Abstract

We prove a Generic Vanishing Theorem for coherent sheaves on an abelian variety over an algebraically closed field kk. When k=\CCk=\CC this implies a conjecture of Green and Lazarsfeld.

Keywords

Cite

@article{arxiv.math/0308198,
  title  = {A derived category approach to generic vanishing},
  author = {Christopher D. Hacon},
  journal= {arXiv preprint arXiv:math/0308198},
  year   = {2007}
}

Comments

11 pages, comments welcome