A Few Splitting Criteria for Vector Bundles

Details A Few Splitting Criteria for Vector Bundles A Few Splitting Criteria for Vector Bundles

2008-02-07

arxiv.org/abs/0802.1062v1

Mathematics

Algebraic Geometry

9 pages, no figures

Scientific paper

We prove a few splitting criteria for vector bundles on a quadric
hypersurface and Grassmannians. We give also some cohomological splitting
conditions for rank 2 bundles on multiprojective spaces. The tools are monads
and a Beilinson's type spectral sequence generalized by Costa and Mir\'o-Roig.

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