5 papers
From Calabi's extremal metrics to scalar-flat Kähler cones
Vestislav Apostolov, Abdellah Lahdili, Chung-Ming Pan
We prove that for any smooth polarized complex -dimensional manifold which admits an extremal Kähler metric in , and for any integer large enough (in t…
Weighted cscK metrics on Kähler varieties
Chung-Ming Pan, Tat Dat Tô
We study the weighted constant scalar curvature Kähler equations on mildly singular Kähler varieties. Assuming the existence of a suitable resolution of singularities, we establi…
A note on orbifold regularity of canonical metrics
Henri Guenancia, Chung-Ming Pan, Mihai PÄun
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…
Singular cscK metrics on smoothable varieties
Chung-Ming Pan, Tat Dat Tô, Antonio Trusiani
We prove the lower semi-continuity of the coercivity threshold of Mabuchi functional along a degenerate family of normal compact Kähler varieties with klt singularities. Moreover,…
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…