Vector Bundles on Products of Varieties with $n$-blocks Collections

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Here we consider the product of varieties with $n$-blocks collections . We give some cohomological splitting conditions for rank 2 bundles. A cohomological characterization for vector bundles is also provided. The tools are Beilinson's type spectral sequences generalized by Costa and Miró-Roig. Moreover we introduce a notion of Castelnuovo-Mumford regularity on a product of finitely many projective spaces and smooth quadric hypersurfaces in order to prove two splitting criteria for vector bundle with arbitrary rank.
15 pages, no figures

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Algebraic Geometry, 14F05, 14J60

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http://salesiana.dossiersoluciones.com/handle/123456789/157861

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0804.0100
 http://arxiv.org/abs/0804.0100

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arXiv