English

A note on orbifold regularity of canonical metrics

Differential Geometry 2025-09-12 v1 Complex Variables

Abstract

In this short note, we prove that on a compact K\"ahler variety XX with log terminal singularities and c1(X)=0c_1(X)=0, any singular Ricci-flat K\"ahler metric has orbifold singularities in restriction to the orbifold locus of XX.

Keywords

Cite

@article{arxiv.2509.09259,
  title  = {A note on orbifold regularity of canonical metrics},
  author = {Henri Guenancia and Chung-Ming Pan and Mihai Păun},
  journal= {arXiv preprint arXiv:2509.09259},
  year   = {2025}
}

Comments

14 pages