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A Vanishing Theorem

Published online by Cambridge University Press:  11 January 2016

F. Laytimi
Affiliation:
Mathématiques-bât. M2 UniversitéLille 1 F-59655 Villeneuve d’AscqCedex [email protected]
W. Nahm
Affiliation:
Dublin Institute for Advanced Studies10 Burlington RoadDublin 4 [email protected]
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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

Type
Research Article
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2005

References

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