3 citations · 9 across the 8 of their papers we have counts for
10 papers
Extremal Sasaki manifolds and weighted K-stability
Simon Jubert, Chung-Ming Pan
We remove the log-concavity assumption on the weight in the analytic weighted Yau--Tian--Donaldson correspondence established in [arXiv:2406.10939, arXiv:2407.09929, arXiv:2503.221…
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 te…
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…
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…
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 establish…
Demailly-Lelong numbers on complex spaces
Chung-Ming Pan
We prove a conjecture proposed by Berman-Boucksom-Eyssidieux-Guedj-Zeriahi, affirming that the Demailly-Lelong number can be determined through a combination of intersection number…
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,…
Kähler-Einstein metrics on families of Fano varieties
Chung-Ming Pan, Antonio Trusiani
Given a one-parameter family of -Fano varieties such that the central fibre admits a unique Kähler-Einstein metric, we provide an analytic method to show that the neigh…
Families of singular Chern-Ricci flat metrics
Chung-Ming Pan
We prove uniform a priori estimates for degenerate complex Monge-Ampère equations on a family of hermitian varieties. This generalizes a theorem of Di Nezza-Guedj-Guenancia to herm…
Singular Gauduchon metrics
Chung-Ming Pan
In 1977, Gauduchon proved that on every compact hermitian manifold there exists a conformally equivalent hermitian metric which satisfies $\mathrm{dd}^c ω…