On a conjecture on aCM and Ulrich sheaves on degeneracy loci
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
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2024
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| _version_ | 1866913257086779392 |
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| author | Benedetti, Vladimiro Tanturri, Fabio |
| author_facet | Benedetti, Vladimiro Tanturri, Fabio |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_04339 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On a conjecture on aCM and Ulrich sheaves on degeneracy loci Benedetti, Vladimiro Tanturri, Fabio Algebraic Geometry 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. |
| title | On a conjecture on aCM and Ulrich sheaves on degeneracy loci |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2403.04339 |