102 citations · 494 across the 37 of their papers we have counts for
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A variational approach to the Yau-Tian-Donaldson conjecture
Robert Berman, Sébastien Boucksom, Mattias Jonsson
We give a variational proof of a version of the Yau-Tian-Donaldson conjecture for twisted Kähler-Einstein currents, and use this to express the greatest (twisted) Ricci lower bound…
Uniform K-stability, Duistermaat-Heckman measures and singularities of pairs
Sébastien Boucksom, Tomoyuki Hisamoto, Mattias Jonsson
The purpose of the present paper is to set up a formalism inspired from non-Archimedean geometry to study K-stability. We first provide a detailed analysis of Duistermaat-Heckman m…
The Non-Archimedean Monge-Ampere Equation
Sebastien Boucksom, Charles Favre, Mattias Jonsson
We give an introduction to our work on the solution to the non-Archimedean Monge-Ampere equation and make comparisons to the complex counterpart. These notes are partially based on…