102 citations · 494 across the 37 of their papers we have counts for
9 papers · 1 filter
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-…
A note on Lang's conjecture for quotients of bounded domains
Sébastien Boucksom, Simone Diverio
It was conjectured by Lang that a complex projective manifold is Kobayashi hyperbolic if and only if it is of general type together with all of its subvarieties. We verify this con…
Duality between the pseudoeffective and the movable cone on a projective manifold
David Witt Nyström, Sébastien Boucksom
We prove a conjecture of Boucksom-Demailly-Păun-Peternell, namely that on a projective manifold the cone of pseudoeffective classes in is dual to the…
Kähler-Einstein metrics and the Kähler-Ricci flow on log Fano varieties
Robert J. Berman, Sébastien Boucksom, Philippe Eyssidieux +2
We prove the existence and uniqueness of Kähler-Einstein metrics on Q-Fano varieties with log terminal singularities (and more generally on log Fano pairs) whose Mabuchi functional…
A variational approach to complex Monge-Ampere equations
R. J. Berman, S. Boucksom, V. Guedj +1
We show that degenerate complex Monge-Ampere equations in a big cohomology class of a compact Kaehler manifold can be solved using a variational method independent of Yau's theorem…
Fekete points and convergence towards equilibrium measures on complex manifolds
Robert J. Berman, Sebastien Boucksom, David Witt Nystrom
Building on the first two authors' previous results, we prove a general criterion for convergence of (possibly singular) Bergman measures towards equilibrium measures on complex ma…