68 citations · 109 across the 13 of their papers we have counts for
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math.AG2018
A non-Archimedean approach to K-stability
Sébastien Boucksom, Mattias Jonsson
We study K-stability properties of a smooth Fano variety X using non-Archimedean geometry, specifically the Berkovich analytification of X with respect to the trivial absolute valu…
math.DG2018
Variational and non-Archimedean aspects of the Yau--Tian--Donaldson conjecture
Sébastien Boucksom
We survey some recent developments in the direction of the Yau-Tian-Donaldson conjecture, which relates the existence of constant scalar curvature Kähler metrics to the algebro-geo…
math.AG2018
Spaces of norms, determinant of cohomology and Fekete points in non-Archimedean geometry
Sébastien Boucksom, Dennis Eriksson
Let L be an ample line bundle on a (geometrically reduced) projective variety X over any complete valued field. Our main result describes the leading asymptotics of the determinant…