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.
Inequalities for the Hodge Numbers of Irregular Compact Kähler Manifolds / L. Lombardi. - In: INTERNATIONAL MATHEMATICS RESEARCH NOTICES. - ISSN 1073-7928. - :1(2013), pp. 63-83.
Titolo: | Inequalities for the Hodge Numbers of Irregular Compact Kähler Manifolds |
Autori: | |
Parole Chiave: | Vanishing theorems; varieties |
Settore Scientifico Disciplinare: | Settore MAT/03 - Geometria |
Data di pubblicazione: | 2013 |
Rivista: | |
Tipologia: | Article (author) |
Data ahead of print / Data di stampa: | 2012 |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1093/imrn/rnr247 |
Appare nelle tipologie: | 01 - Articolo su periodico |
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