Cohomological characterization of vector bundles on multiprojective spaces

L. Costa; R. M. Miró-Roig

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arXiv · math/0609559

Cohomological characterization of vector bundles on multiprojective spaces

L. Costa·R. M. Miró-Roig

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Abstract

We show that Horrock's criterion for the splitting of vector bundles on $\PP^n$ can be extended to vector bundles on multiprojective spaces and to smooth projective varieties with the weak CM property (see Definition 3.11). As a main tool we use the theory of $n$-blocks and Beilinson's type spectral sequences. Cohomological characterizations of vector bundles are also showed.

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BibTeX RIS

L. Costa, R. M. Miró-Roig. 2006-09-20. Cohomological characterization of vector bundles on multiprojective spaces. https://arxiv.org/abs/math/0609559

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