Pith. sign in

REVIEW 1 cited by

$\omega$-trace and Griffiths positivity for singular Hermitian metrics

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 2402.06658 v1 pith:WADEEZIL submitted 2024-02-05 math.DG math.CV

Yuta Watanabe This is my paper · ORCID
classification math.DGmath.CV
keywords omegahermitianpositivitymetricstracegriffithssingularbundles
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
abstract

In this paper, we investigate various positivity for singular Hermitian metrics such as Griffiths, $\omega$-trace and RC, where $\omega$ is a Hermitian metric, and show that these quasi-positivity notions induce $0$-th cohomology vanishing, rational conected-ness, etc. Here, $\omega$-trace positivity of smooth Hermitian metrics $h$ on holomorphic vector bundles $E$ represents the positivity of $tr_\omega i\Theta_{E,h}$.

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. Griffiths and Nakano positivity and Nakano-Nadel vanishing theorems for singular Hermitian metrics on complex spaces

    math.CV 2026-06 conditional novelty 7.0 of 10

    Nakano-positive singular Hermitian vector-bundle metrics on weakly pseudoconvex complex spaces imply vanishing of higher cohomology of the associated Grauert-Riemenschneider L2-canonical sheaf.

Pith tools