Work

Kähler families of Green’s functions

Year: 2025

Type: article

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 Kähler 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 Kähler metrics.

Source: Journal de l’École polytechnique — Mathématiques

DOI: 10.5802/jep.291

Authors: Vincent Guedj, Tat Dat Tô

Language: English

Topic: Geometry and complex manifolds

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funders: Agence Nationale de la Recherche, Institut Universitaire de France

Award: Real Monge-Ampère and Kähler geometry of homogeneous spaces

OpenAlex ID: W4407703352