Generators for vector bundles on generic hypersurfaces

• Autores: N. Mohan Kumar, A.P. Rao, G. V. Ravindra
• Localización: Mathematical research letters, ISSN 1073-2780, Vol. 14, Nº 4, 2007, págs. 649-655
• Idioma: inglés
• DOI: 10.4310/mrl.2007.v14.n4.a9
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• Resumen

  • 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 $3$.