Vanishing theorems for vector bundles generated by sections
F. Laytimi and D. S. Nagaraj
Source: Kyoto J. Math. Volume 50, Number 3
(2010), 469-479.
Abstract
In this article we give a vanishing result for the cohomology groups $H^{p,q}(X,S^{\nu}E\otimes L)$, where $E$ is a vector bundle generated by sections and $L$ is an ample line bundle on a smooth projective variety $X$. We also give an application related to a result of Barth-Lefschetz type. A general nonvanishing result under the same hypothesis is given to prove the optimality of the vanishing result for some parameter values.
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.kjm/1281531709
Digital Object Identifier: doi:10.1215/0023608X-2010-001
Zentralblatt MATH identifier: 05793432
Mathematical Reviews number (MathSciNet): MR2723859
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Project Euclid: euclid.pja/1195526105
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Kyoto Journal of Mathematics
