Inequalities for the Hodge numbers of irregular compact Kaehler manifolds
Algebraic Geometry
2012-04-06 v1
Abstract
Based on work of R. Lazarsfeld and M. Popa, we use the derivative complex associated to the bundle of the holomorphic p-forms to provide inequalities for all the Hodge numbers of a special class of irregular compact Kaehler manifolds. For 3-folds and 4-folds we give an asymptotic bound for all the Hodge numbers in terms of the irregularity. As a byproduct, via the BGG correspondence, we also bound the regularity of the exterior cohomology modules of bundles of holomorphic p-forms.
Keywords
Cite
@article{arxiv.1103.1704,
title = {Inequalities for the Hodge numbers of irregular compact Kaehler manifolds},
author = {Luigi Lombardi},
journal= {arXiv preprint arXiv:1103.1704},
year = {2012}
}
Comments
15 pages