A general vanishing theorem

Autor: W. Nahm, F Laytimi
Rok vydání: 2013
Předmět:
Zdroj: Proceedings - Mathematical Sciences. 123:479-490
ISSN: 0973-7685
0253-4142
DOI: 10.1007/s12044-013-0152-5
Popis: Let E be a vector bundle and L be a line bundle over a smooth projective variety X. In this article, we give a condition for the vanishing of Dolbeault cohomology groups of the form \(H^{p,q}(X,{\mathcal S}^{\alpha}E\otimes \wedge^{\beta} E\otimes L)\) when Sα + βE ⊗ L is ample. This condition is shown to be invariant under the interchange of p and q. The optimality of this condition is discussed for some parameter values.
Databáze: OpenAIRE
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