English

ACC for local volumes

Algebraic Geometry 2024-08-30 v2

Abstract

We prove the ACC conjecture for local volumes. Moreover, when the local volume is bounded away from zero, we prove Shokurov's ACC conjecture for minimal log discrepancies.

Keywords

Cite

@article{arxiv.2408.15090,
  title  = {ACC for local volumes},
  author = {Jingjun Han and Jihao Liu and Lu Qi},
  journal= {arXiv preprint arXiv:2408.15090},
  year   = {2024}
}

Comments

22 pages, remove the assumption "Q-Gorenstein" in Theorem 1.7

R2 v1 2026-06-28T18:25:29.429Z