1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.DG2024
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…
math.CV2024
Kähler families of Green's functions
Vincent Guedj, Tat Dat Tô
In a remarkable series of works, Guo, Phong, Song, and Sturm have obtained key uniform estimates for the Green's functions associated with certain Kähler metrics. In this note, we…
math.CV2023★ 1 cited
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,…