Pith. sign in

REVIEW 2 cited by

Perverse coherent sheaves (after Deligne)

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 math/0005152 v2 pith:7DSQ2FG4 submitted 2000-05-16 math.AG math.GTmath.RT

Roman Bezrukavnikov This is my paper · ORCID
classification math.AGmath.GTmath.RT
keywords sheavescoherentactioncategoryconstructiondeligneequivariantgroup
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
abstract

This note is mostly an exposition of an unpublished result of Deligne, which introduces an analogue of perverse $t$-structure on the derived category of coherent sheaves on a Noetherian scheme with a dualizing complex. Construction extends to the category of coherent sheaves equivariant under an action of an algebraic group; though proof of the general statement in this case does not require new ideas, it provides examples (such as sheaves on the nilpotent cone of a semi-simple group equivariant under the adjoint action) where construction of coherent "intersection cohomology" sheaves works.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 2 Pith papers

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

  1. Semi-Bousfield classes and nonmonotone perversities

    math.CT 2026-05 unverdicted novelty 7.0 of 10

    Semi-Bousfield classes generalize Bousfield classes and tensor-compatible t-structures, with a bijection assigning (nonmonotone) perversities on Noetherian schemes X to semi-Bousfield classes in D_qc(X) that stratifie...

  2. Polynomial Bridgeland Stability Conditions on the Category of Coherent Sheaves

    math.AG 2025-06 conditional novelty 6.0 of 10

    Bayer's polynomial Bridgeland stability on coherent sheaves reduces to lexicographic slope-vector stability exactly when the stability vector is adapted, and a dHYM-type example destabilizes the trivial bundle while a...

Pith tools