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 Creators	ORCiD
Tripathi, Amit	UNSPECIFIED

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