Pith. sign in

REVIEW 1 cited by

Properness criteria for families of coherent analytic sheaves

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 1710.01484 v2 pith:3EBDQLR7 submitted 2017-10-04 math.AG math.CV

Matei Toma This is my paper · ORCID
classification math.AGmath.CV
keywords complexsheavesanalyticcoherentfamiliesalgebraicappearingapplies
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

We extend Langton's valuative criterion for families of coherent algebraic sheaves to a complex analytic set-up. As a consequence we derive a set of sufficient conditions for the compactness of a moduli space of semistable sheaves over a compact complex manifold. This applies also to some cases appearing in complex projective geometry not covered by previous results.

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. Remarks on Relative Canonical Bundles and Algebraicity Criteria for Foliations in K\"ahler context

    math.CV 2025-02 conditional novelty 6.0 of 10

    New pseudo-effectivity theorems for relative canonical bundles and new algebraicity and uniruledness criteria for foliations on compact Kähler manifolds are established.

Pith tools