Arithmetically Cohen–Macaulay bundles on hypersurfaces

N. Mohan Kumar
Washington University in St. Louis, United States
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A. P. Rao
University of Missouri-Saint Louis, United States
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G. V. Ravindra
Washington University in St. Louis, United States
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Abstract

We prove that any rank two arithmetically Cohen–Macaulay vector bundle on a general hypersurface of degree at least three in $P^{5}$ must be split.

N. Mohan Kumar, A. P. Rao, G. V. Ravindra, Arithmetically Cohen–Macaulay bundles on hypersurfaces. Comment. Math. Helv. 82 (2007), no. 4, pp. 829–843