Resumen de Generators for vector bundles on generic hypersurfaces

N. Mohan Kumar, A.P. Rao, G. V. Ravindra

• 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 $3$.