English

Minimal log discrepancies on smooth threefolds

Algebraic Geometry 2023-12-29 v2

Abstract

We completely prove the ACC for minimal log discrepancies on smooth threefolds. It implies on smooth threefolds the ACC for a-lc thresholds, the uniform m-adic semi-continuity of minimal log discrepancies and the boundedness of the log discrepancy of some divisor that computes the minimal log discrepancy.

Keywords

Cite

@article{arxiv.2312.13599,
  title  = {Minimal log discrepancies on smooth threefolds},
  author = {Masayuki Kawakita},
  journal= {arXiv preprint arXiv:2312.13599},
  year   = {2023}
}

Comments

30 pages, Theorems 1.3 and 1.4 extended, Section 7 slightly rebuilt

R2 v1 2026-06-28T13:58:21.423Z