A note on orbifold regularity of canonical metrics

Henri Guenancia, Chung-Ming Pan, Mihai Păun

Published: 2025/9/11

Abstract

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

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