K\"ahler families of Green's functions
Complex Variables
2024-06-04 v2 Algebraic Geometry
Analysis of PDEs
Differential Geometry
Abstract
In a remarkable series of works, Guo, Phong, Song, and Sturm have obtained key uniform estimates for the Green's functions associated with certain K\"ahler metrics. In this note, we broaden the scope of their techniques by removing one of their assumptions and allowing the complex structure to vary. We apply our results to various families of canonical K\"ahler metrics.
Cite
@article{arxiv.2405.17232,
title = {K\"ahler families of Green's functions},
author = {Vincent Guedj and Tat Dat Tô},
journal= {arXiv preprint arXiv:2405.17232},
year = {2024}
}
Comments
Minor changes, references added