English

On semi-continuity problems for minimal log discrepancies

Algebraic Geometry 2024-04-30 v3

Abstract

We show the semi-continuity property of minimal log discrepancies for varieties which have a crepant resolution in the category of Deligne-Mumford stacks. Using this property, we also prove the ideal-adic semi-continuity problem for toric pairs.

Keywords

Cite

@article{arxiv.1305.1410,
  title  = {On semi-continuity problems for minimal log discrepancies},
  author = {Yusuke Nakamura},
  journal= {arXiv preprint arXiv:1305.1410},
  year   = {2024}
}

Comments

20 pages, to appear in J. Reine Angew. Math

R2 v1 2026-06-22T00:12:36.203Z