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Kähler families of Green's functions

By Vincent Guedj

Appears in collection : Families of Kähler spaces / Familles d'espaces kählériens

We establish uniform estimates for Green's functions associated to Kähler forms, as the latter evolve in large families and the complex structure varies. This generalizes works of Guo, Phong, Song, and Sturm. These estimates allow one to establish diameter bounds and non-collapsing estimates for various families of canonical Kähler metrics. This is joint work with T.D.Tô.

Information about the video

Date of recording 22/04/2025
Date of publication 13/05/2025
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers, Graduate Students
Director(s) Luca Recanzone
Format MP4

Citation data

DOI 10.24350/CIRM.V.20343203
Cite this video Guedj, Vincent (22/04/2025). Kähler families of Green's functions. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20343203
URL https://dx.doi.org/10.24350/CIRM.V.20343203

Domain(s)

Bibliography

GUEDJ, Vincent et TÔ, Tat Dat. Kähler families of Green's functions. Journal de l'École polytechnique — Mathématiques, Tome 12 (2025), pp. 319-339 - https://doi.org/10.5802/jep.291

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