Generators for Vector Bundles on Generic Hypersurfaces
نویسندگان
چکیده
We prove that on a generic hypersurface in P of dimension at least 3, a vector bundle with r ≤ m generators must be split if m is odd. If m is even, then the same is true if the degree of X is at least 3.
منابع مشابه
Stable Vector Bundles on Quadric Hypersurfaces L. Ein and I. Sols
§0. Barth, Hulek and Maruyama have showed that the moduli of stable rank 2 vector bundles on P are nonsingular rational varieties. There are also many examples of stable rank 2 vector bundles on P. On the other hand, there is essentially only one example of rank 2 bundles on P\ which is constructed by Horrocks and Mumford. We hope the study of rank 2 bundles on hypersurfaces in P may give more ...
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تاریخ انتشار 2005