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Pré-Publication, Document De Travail (Preprint/Prepublication) Année : 2024

ON A CONJECTURE ON ACM AND ULRICH SHEAVES ON DEGENERACY LOCI

Résumé

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.
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Dates et versions

hal-04493221 , version 1 (07-03-2024)

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  • HAL Id : hal-04493221 , version 1

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Vladimiro Benedetti, Fabio Tanturri. ON A CONJECTURE ON ACM AND ULRICH SHEAVES ON DEGENERACY LOCI. 2024. ⟨hal-04493221⟩
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