56:14
published on June 20, 2025
A family of Fano manifolds obtained as linear sections of the spinor tenfold
By Laurent Manivel
Kähler families of Green's functions
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.
