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math.DG2024
Volumes of Bott-Chern classes
Sébastien Boucksom, Vincent Guedj, Chinh H. Lu
We study the volumes of transcendental and possibly non-closed Bott-Chern -classes on an arbitrary compact complex manifold . We show that the latter belongs to the class…
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…