Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5772073 | Journal of Algebra | 2017 | 11 Pages |
Abstract
Let X be a smooth projective hypersurface of dimension â¥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 Hâi(X,â§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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Amit Tripathi,