Abstract
AbstractThe 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.
Publisher
Cambridge University Press (CUP)
Reference13 articles.
1. Submanifolds of Abelian varieties to Rebecca
2. Un théorème d’annulation pour les puissances extérieures d’un fibré ample;Manivel;J. reine angew. Math.,1991
3. Cohomology of twisted holomorphic forms on Grassmann manifolds and quadric hypersurfaces
4. On degeneracy loci;Laytimi;International Journal of Mathematics,1998
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