102 citations · 494 across the 37 of their papers we have counts for
43 papers
From complex to non-Archimedean geometry: an approach to the YTD conjecture
Sébastien Boucksom, Mattias Jonsson
These notes expand on talks given by the authors at the 2025 Summer Research Institute in Algebraic Geometry in Fort Collins, Colorado. We discuss the relation between algebraic, a…
From amoebas to pluripotential theory on hybrid analytic spaces
Sebastien Boucksom
These lecture notes are an introduction to the use of non-Archimedean geometry in the study of meromorphic degenerations of complex algebraic varieties. They provide a self-contain…
On the Yau-Tian-Donaldson conjecture for weighted cscK metrics
Sébastien Boucksom, Mattias Jonsson
We establish a version, formulated in terms of non-Archimedean pluripotential theory, of the Yau-Tian-Donaldson conjecture for constant scalar curvature and, more generally, weight…
Weighted extremal Kähler metrics on resolutions of singularities
Sébastien Boucksom, Mattias Jonsson, Antonio Trusiani
Generalizing previous results of Arezzo-Pacard-Singer, Seyyedali-Székelyhidi and Hallam, we prove the invariance under smooth blowups of the class of weighted extremal Kähler manif…
Volumes of Bott-Chern classes
Sébastien Boucksom, Vincent Guedj, Chinh H. Lu
We study the volumes of transcendental and possibly non-closed Bott-Chern -classes on an arbitrary compact complex manifold . We show that the latter belongs to the class…
Measures of finite energy in pluripotential theory: a synthetic approach
Sebastien Boucksom, Mattias Jonsson
We introduce a synthetic approach to global pluripotential theory, covering in particular the case of a compact Kähler manifold and that of a projective Berkovich space over a non-…