Pith. sign in

REVIEW 2 cited by

Decomposition theorem for good moduli morphisms

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 2407.06160 v2 pith:UR3UIK3W submitted 2024-07-08 math.AG

Tasuki Kinjo This is my paper · ORCID
classification math.AG
keywords modulimorphismstheoremdecompositiongoodtheyapplicationsbase
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

In this short note, we will explain that the good moduli space morphisms behave as if they are proper when we consider sheaf operations, though they are not separated. For example, the decomposition theorem and the base change theorem hold for these morphisms, which have applications to the cohomological study of moduli spaces.

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. Cohomology of symmetric stacks

    math.AG 2025-02 conditional novelty 8.0 of 10

    A decomposition theorem for cohomology of symmetric stacks yields BPS cohomology, proving cohomological integrality for wide classes of moduli stacks and 3-Calabi-Yau categories.

  2. Hitchin fibrations are Ng\^{o} fibrations

    math.AG 2025-02 conditional novelty 7.0 of 10

    For every split reductive group G, the Hitchin fibration in the canonical and logarithmic cases is an Ngô fibration, so its direct image splits into Ngô strings.

Pith tools