Showing 2025Show all
2 papers · 1 filter
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.DG2025
Gauduchon metrics and Hermite-Einstein metrics on non-Kähler varieties
Chung-Ming Pan
We show the existence of Gauduchon metrics on arbitrary compact hermitian varieties, generalizing our previous work on smoothable singularities. These metrics allow us to define th…