Splitting of Low-Rank ACM Bundles on Hypersurfaces of High Dimension

Authors

Amit Tripathi, Indian Statistical Institute, Kolkata

Article Type

Research Article

Publication Title

Communications in Algebra

Abstract

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.

First Page

1011

Last Page

1017

DOI

10.1080/00927872.2014.999923

Publication Date

3-3-2016

Comments

Open Access; Green Open Access

Recommended Citation

Tripathi, Amit, "Splitting of Low-Rank ACM Bundles on Hypersurfaces of High Dimension" (2016). Journal Articles. 4456.
https://digitalcommons.isical.ac.in/journal-articles/4456