Th\'{e}or\`{e}mes d'annulation et lieux de d\'{e}g\'{e}n\'{e}rescence en petit corang
Algebraic Geometry
2007-05-23 v1
Abstract
After giving an explicit description of all the non vanishing Dolbeault cohomology groups of ample line bundles on grassmannians, I give two series of vanishing theorems for ample vector bundles on a smooth projective variety. They imply a part of a conjecture by Fulton and Lazarsfeld about the connectivity of some degeneracy loci.
Cite
@article{arxiv.math/0502131,
title = {Th\'{e}or\`{e}mes d'annulation et lieux de d\'{e}g\'{e}n\'{e}rescence en petit corang},
author = {Pierre-Emmanuel Chaput},
journal= {arXiv preprint arXiv:math/0502131},
year = {2007}
}
Comments
published in Documenta Matematica