A Few Splitting Criteria for Vector Bundles
classification
🧮 math.AG
keywords
bundlessplittingcriteriavectorbeilinsoncohomologicalconditionscosta
read the original abstract
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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