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A splitting criterion for rank 2 vector bundles on hypersurfaces in P^4

Carlo Madonna
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Abstract

We show that Horrocks' criterion for the splitting of rank two vector bundles in P^3 can be extended, with some assumptions on the Chern classes, on non singular hypersurfaces in P^4. Extension of other splitting criterion are studied.

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Carlo Madonna. 1998-04-28. A splitting criterion for rank 2 vector bundles on hypersurfaces in P^4. https://arxiv.org/abs/math/9804113

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