Arithmetically Cohen–Macaulay bundles on hypersurfaces

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

doi:10.4171/CMH/111

Commentarii Mathematici Helvetici

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CMH summary

Volume 82, Issue 4, 2007, pp. 829–843

DOI: 10.4171/CMH/111

Arithmetically Cohen–Macaulay bundles on hypersurfaces

N. Mohan Kumar (1), A. P. Rao (2) and G. V. Ravindra (3)

(1) Department of Mathematics, Washington University in St. Louis, MO 63130, ST. LOUIS, UNITED STATES
(2) Department of Mathematics, University of Missouri-Saint Louis, MO 63121, ST. LOUIS, UNITED STATES
(3) Department of Mathematics, Washington University in St. Louis, MO 63130, ST. LOUIS, UNITED STATES

We prove that any rank two arithmetically Cohen–Macaulay vector bundle on a general hypersurface of degree at least three in ℙ⁵ must be split.

Keywords: Vector bundles, hypersurfaces, arithmetically Cohen–Macaulay