On a conjecture on aCM and Ulrich sheaves on degeneracy loci
Algebraic Geometry
2024-03-08 v1
Abstract
In this paper we address a conjecture by Kleppe and Mir\'o-Roig stating that suitable twists by line bundles (on the smooth locus) of the exterior powers of the normal sheaf of a standard determinantal locus are arithmetically Cohen--Macaulay, and even Ulrich when the locus is linear determinantal. We do so by providing a very simple locally free resolution of such sheaves obtained through the so-called Weyman's Geometric Method.
Keywords
Cite
@article{arxiv.2403.04339,
title = {On a conjecture on aCM and Ulrich sheaves on degeneracy loci},
author = {Vladimiro Benedetti and Fabio Tanturri},
journal= {arXiv preprint arXiv:2403.04339},
year = {2024}
}