Let X be a smooth projective hypersurface. We derive a splitting criterion for arithmetically Cohen–Macaulay bundles over X. As an application, we show that any rank 3 ACM vector bundle over X splits when dim X ≥ 7. We also derive a splitting result for rank 4 arithmetically Cohen–Macaulay bundles. © 2016, Copyright © Taylor & Francis Group, LLC.

Amit Tripathi

Department of Mathematics

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Journal	Data powered by TypesetCommunications in Algebra
Publisher	Data powered by TypesetTaylor and Francis Inc.
ISSN	00927872