Pith. sign in

REVIEW 1 cited by

Local dualisable objects in local algebra

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 2302.08562 v1 pith:TOUWWV7S submitted 2023-02-16 math.AC

Dave Benson , Srikanth B. Iyengar , Henning Krause , Julia Pevtsova This is my paper · ORCID
classification math.AC
keywords dualisablelocalobjectsalgebraattentioncategoriescategorycohomological
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

We discuss dualisable objects in minimal subcategories of compactly generated tensor triangulated categories, paying special attention to the derived category of a commutative noetherian ring. A cohomological criterion for detecting these local dualisable objects is established. Generalisations to other related contexts are discussed.

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. Perfect complexes and completion

    math.AC 2024-11 accept novelty 7.0 of 10

    Perfect complexes over an I-adic completion are equivalent to dualizable I-complete complexes precisely when the ring's Koszul homology is unchanged by completion.

Pith tools