3 citations · 9 across the 8 of their papers we have counts for
6 papers · 1 filter
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…
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…