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math.DG2025
A note on orbifold regularity of canonical metrics
Henri Guenancia, Chung-Ming Pan, Mihai Păun
In this short note, we prove that on a compact Kähler variety with log terminal singularities and , any singular Ricci-flat Kähler metric has orbifold singularities i…
math.DG2019★ 2 cited
Variation of singular Kähler-Einstein metrics: Kodaira dimension zero
Junyan Cao, Henri Guenancia, Mihai Păun
We study several questions involving relative Ricci-flat Kähler metrics for families of log Calabi-Yau manifolds. Our main result states that if is a Kähler fiber sp…