English

On generalized minimal log discrepancy

Algebraic Geometry 2024-04-10 v2

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.

Keywords

Cite

@article{arxiv.2112.09501,
  title  = {On generalized minimal log discrepancy},
  author = {Weichung Chen and Yoshinori Gongyo and Yusuke Nakamura},
  journal= {arXiv preprint arXiv:2112.09501},
  year   = {2024}
}

Comments

44 pages. To appear in J. Math. Soc. Japan

R2 v1 2026-06-24T08:21:57.679Z