Data di Pubblicazione:
2013
Citazione:
Inequalities for the Hodge Numbers of Irregular Compact Kähler Manifolds / L. Lombardi. - In: INTERNATIONAL MATHEMATICS RESEARCH NOTICES. - ISSN 1073-7928. - 2013:1(2013), pp. 63-83. [10.1093/imrn/rnr247]
Abstract:
Based on the work of Lazarsfeld and Popa, we use the derivative complex associated to the bundle of holomorphic p-forms to provide inequalities for all the Hodge numbers of a special class of irregular compact Kahler manifolds. For three-folds and four-folds, we give an asymptotic bound for all the Hodge numbers in terms of the irregularity. As a byproduct, via the Bernstein-Gel'fand-Gel'fand correspondence, we also bound the regularity of the exterior cohomology modules of bundles of holomorphic p-forms.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Hodge numbers, derivative complexes, regularity of cohomology modules
Elenco autori:
L. Lombardi
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