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arxiv: math/9804113 · v2 · submitted 1998-04-23 · 🧮 math.AG

A splitting criterion for rank 2 vector bundles on hypersurfaces in P⁴

classification 🧮 math.AG
keywords criterionsplittingbundleshypersurfacesrankvectorassumptionschern
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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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