On the base case of a conjecture on ACM bundles over hypersurfaces

Ravindra, G. V. and Tripathi, Amit (2022) On the base case of a conjecture on ACM bundles over hypersurfaces. Geometriae Dedicata, 216 (5). ISSN 0046-5755

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Abstract

We obtain an upper bound on the first Chern class and the Castelnuovo-Mumford regularity of an initialized rank 3 ACM bundle on a general hypersurface in P4. As a corollary, we prove that a general hypersurface in P4 of degree d≥ 4 does not support a rank 3 Ulrich bundle. We also make progress on the base case of a generic version of a conjecture by Buchweitz, Greuel and Schreyer. © 2022, The Author(s), under exclusive licence to Springer Nature B.V.

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IITH Creators:
IITH CreatorsORCiD
Tripathi, AmitUNSPECIFIED
Item Type: Article
Additional Information: The authors would like to thank the referee for many comments and suggestions. The first author was partially supported by a grant from the Simons Foundation (Award ID:830817). The second author was partially supported by the science and engineering research board (SERB) grant MTR/2020/000164.
Uncontrolled Keywords: Arithmetically Cohen-Macaulay; Exterior powers; Hypersurfaces; Vector bundles
Subjects: Mathematics
Divisions: Department of Mathematics
Depositing User: . LibTrainee 2021
Date Deposited: 15 Oct 2022 05:04
Last Modified: 15 Oct 2022 05:04
URI: http://raiith.iith.ac.in/id/eprint/10953
Publisher URL: http://doi.org/10.1007/s10711-022-00711-9
OA policy: https://v2.sherpa.ac.uk/id/publication/17266
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