102 citations · 294 across the 30 of their papers we have counts for
4 papers · 1 filter
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…
On the complex dynamics of birational surface maps defined over number fields
Mattias Jonsson, Paul Reschke
We show that any birational selfmap of a complex projective surface that has dynamical degree greater than one and is defined over a number field automatically satisfies the Bedfor…
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…