Vector Bundles on Products of Varieties with n-blocks Collections
نویسندگان
چکیده
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 CastelnuovoMumford 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.
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