Pith. sign in

REVIEW 1 cited by

Effectivity in the Hyperbolicity-related problems

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 1606.03831 v1 pith:SFMYWY7Y submitted 2016-06-13 math.AG math.CV

Ya Deng This is my paper · ORCID
classification math.AGmath.CV
keywords effectiveconjecturesdebarrekobayashiworkassociatedboundsbrotbek
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
abstract

The aim of this work is to deal with effective questions related to the Kobayashi and Debarre conjectures, and based on the work of Damian Brotbek and Lionel Darondeau. We first show that if a line bundle $L$ generates $k$-jets, the $k$-th Wronskian ideal sheaf associated with global sections of $L$ reaches its largest possible value. Then we obtain an effective estimate for a weaker version of a theorem of Nakamaye on certain universal Grassmannians. We finally derive from this explicit effective bounds for the Kobayashi and Debarre conjectures.

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. Quantitative hyperbolicity for complex manifolds via numerical invariants

    math.CV 2026-07 conditional novelty 8.0 of 10

    New numerical invariants called hyperbolic indices, defined via liftable directed currents on Demailly-Semple towers, give a sufficient condition for Kobayashi hyperbolicity and grow at least linearly in degree for ge...

Pith tools