Pith. sign in

REVIEW 1 cited by

Kernels of categorical resolutions of nodal singularities

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 2209.12853 v2 pith:QCR33YBC submitted 2022-09-26 math.AG

Warren Cattani , Franco Giovenzana , Shengxuan Liu , Pablo Magni , Luigi Martinelli , Laura Pertusi , Jieao Song This is my paper
classification math.AG
keywords nodalcategoricalsingularitiesderivedkernelobjectresolutionahler
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
abstract

In this paper we study derived categories of nodal singularities. We show that for all nodal singularities there is a categorical resolution whose kernel is generated by a $2$ or $3$-spherical object, depending on the dimension. We apply this result to the case of nodal cubic fourfolds, where we describe the kernel generator of the categorical resolution as an object in the bounded derived category of the associated degree six K3 surface. This paper originated from one of the problem sessions at the Interactive Workshop and Hausdorff School "Hyperk\"ahler Geometry", Bonn, September 6-10, 2021.

Discussion (0). Sign in to comment.

Forward citations

Cited by 1 Pith paper

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

  1. Categorical absorptions of singularities and degenerations

    math.AG 2022-07 unverdicted novelty 6.0 of 10

    Introduces categorical absorption of singularities for projective varieties with isolated ordinary double points and shows the smooth part extends over smoothings.

Pith tools