Cohomological characterization of vector bundles on multiprojective spaces

Details Cohomological characterization of vector bundles on multiprojective spaces Cohomological characterization of vector bundles on multiprojective spaces

2006-09-20

arxiv.org/abs/math/0609559v1

J. of Algebra, 294 (2005) 73-96

Mathematics

Algebraic Geometry

Scientific paper

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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