On a conjecture on aCM and Ulrich sheaves on degeneracy loci

Vladimiro Benedetti and Fabio Tanturri

Mathematische Nachrichten, 2025, vol. 298, issue 4, 1148-1166

Abstract: In this paper, we address a conjecture by Kleppe and Miró‐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.

Date: 2025
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