Article ID Journal Published Year Pages File Type
5772073 Journal of Algebra 2017 11 Pages PDF
Abstract
Let X be a smooth projective hypersurface of dimension ≥5 and let E be an arithmetically Cohen-Macaulay bundle on X of any rank. We prove that E splits as a direct sum of line bundles if and only if H⁎i(X,∧2E)=0 for i=1,2,3,4. As a corollary this result proves a conjecture of Buchweitz, Greuel and Schreyer for the case of rank 3 arithmetically Cohen-Macaulay bundles.
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Authors
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