On generalized minimal log discrepancy

Weichung Chen; Yoshinori Gongyo; Yusuke Nakamura

On generalized minimal log discrepancy

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 2112.09501 v2 pith:2RHA2IYC submitted 2021-12-17 math.AG

Weichung Chen , Yoshinori Gongyo , Yusuke Nakamura This is my paper · ORCID

classification math.AG

keywords generalizedpairsconjecturediscussminimalcomplementsconjecturesdiscrepancies

verification ladder T0 review T1 audit T2 compute T3 formal

0 comments

read the original abstract

We discuss the ACC conjecture and the LSC conjecture for minimal log discrepancies of generalized pairs. We prove that some known results on these two conjectures for usual pairs are still valid for generalized pairs. We also discuss the theory of complements for generalized pairs.

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

Discreteness of volumes of divisors on Calabi-Yau type varieties
math.AG 2025-08 conditional novelty 7.0 of 10

Volumes of integral divisors on epsilon-lc Calabi-Yau pairs lie in a fixed discrete set, settling Birkar's boundedness conjecture for polarized log Calabi-Yau pairs.

Pith tools