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On a conjecture on aCM and Ulrich sheaves on degeneracy loci

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  • Vladimiro Benedetti
  • Fabio Tanturri

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.

Suggested Citation

  • Vladimiro Benedetti & Fabio Tanturri, 2025. "On a conjecture on aCM and Ulrich sheaves on degeneracy loci," Mathematische Nachrichten, Wiley Blackwell, vol. 298(4), pages 1148-1166, April.
    • Handle: RePEc:bla:mathna:v:298:y:2025:i:4:p:1148-1166
    DOI: 10.1002/mana.202400324
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