Pith. sign in

REVIEW 1 cited by

On a conjecture on aCM and Ulrich sheaves on degeneracy loci

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2403.04339 v1 pith:WCD3QSVV submitted 2024-03-07 math.AG

Vladimiro Benedetti (LJAD) , Fabio Tanturri (UniGe) This is my paper · ORCID
classification math.AG
keywords locusconjecturedeterminantalsheavesulrichaddressarithmeticallybundles
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original 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.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. On the projective normality of Ulrich bundles on some low-dimensional varieties

    math.AG 2024-12 reject novelty 7.0 of 10

    For curves, surfaces with q=pg=0, and hypersurfaces of dimension 2 or 3, the paper gives criteria for when Ulrich bundles are projectively normal, with a likely error in the hypersurface determinant computation.

Pith tools