Remarks on higher-rank ACM bundles on hypersurfaces

G V, Ravindra and Tripathi, Amit (2018) Remarks on higher-rank ACM bundles on hypersurfaces. Comptes Rendus Mathematique, 356 (11-12). pp. 1215-1221. ISSN 1631-073X

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Abstract

In terms of the number of generators, one of the simplest non-split rank-3 arithmetically Cohen–Macaulay bundles on a smooth hypersurface in P5 is 6-generated. We prove that a general hypersurface in P5 of degree d≥3 does not support such a bundle. We also prove that a smooth positive dimensional hypersurface in projective space of even degree does not support an Ulrich bundle of odd rank and determinant of the form OX(c) for some integer c. This verifies some cases of conjectures we discuss here.

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IITH Creators:
IITH CreatorsORCiD
Tripathi, AmitUNSPECIFIED
Item Type: Article
Subjects: Mathematics
Divisions: Department of Mathematics
Depositing User: Team Library
Date Deposited: 04 Dec 2018 05:07
Last Modified: 04 Dec 2018 06:07
URI: http://raiith.iith.ac.in/id/eprint/4602
Publisher URL: http://doi.org/10.1016/j.crma.2018.10.004
OA policy: http://www.sherpa.ac.uk/romeo/issn/1631-073X/
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