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arXiv · 2509.09259

A note on orbifold regularity of canonical metrics

Henri Guenancia·Chung-Ming Pan·Mihai Păun
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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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Henri Guenancia, Chung-Ming Pan, Mihai Păun. 2025-09-11. A note on orbifold regularity of canonical metrics. https://arxiv.org/abs/2509.09259

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