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A Vanishing Theorem

Published online by Cambridge University Press:  11 January 2016

F. Laytimi  and
W. Nahm
F. Laytimi
Affiliation:
Mathématiques-bât. M2 UniversitéLille 1 F-59655 Villeneuve d’AscqCedex Francelaytimi@agat.univ-lille1.fr
W. Nahm
Affiliation:
Dublin Institute for Advanced Studies10 Burlington RoadDublin 4 Irelandwnahm@stp.dias.ie
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Abstract

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The main result is a general vanishing theorem for the Dolbeault cohomology of an ample vector bundle obtained as a tensor product of exterior powers of some vector bundles. It is also shown that the conditions for the vanishing given by this theorem are optimal for some parameter values.

Keywords

14F17
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 180 , 2005 , pp. 35 - 43
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2005

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