Mathematical Research Letters

Volume 14, Issue 4, July 2007 pp. 649-655.

Generators for vector bundles on generic hypersurfaces

Authors: N. Mohan Kumar (1), A. P. Rao (2), and G. V. Ravindra (3)
Author institution: Washington University in St. Louis (1), University of Missouri-St. Louis (2), and Indian Institute of Science (3)

Summary: We prove that on a generic hypersurface in $\bbP^{m+1}$ of dimension at least $3$, a vector bundle with $r\leq m$ 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 $3$.

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