68 citations · 97 across the 5 of their papers we have counts for
6 papers
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…
Degree growth of meromorphic surface maps
S. Boucksom, C. Favre, M. Jonsson
We study the degree growth of iterates of meromorphic selfmaps of compact Kahler surfaces. Using cohomology classes on the Riemann-Zariski space we show that the degrees grow simil…
Differentiability of volumes of divisors and a problem of Teissier
Sebastien Boucksom, Charles Favre, Mattias Jonsson
We give an algebraic construction of the positive products of pseudo-effective classes first introduced by Boucksom, Demailly, Paun and Peternell, and use them to prove that the vo…
The pseudo-effective cone of a compact Kähler manifold and varieties of negative Kodaira dimension
Sébastien Boucksom, Jean-Pierre Demailly, Mihai Paun +1
We prove that a holomorphic line bundle on a projective manifold is pseudo-effective if and only if its degree on any member of a covering family of curves is non-negative. This is…
On the volume of a line bundle
Sebastien Boucksom
Using a result of Fujita on approximate Zariski decompositions and the singular version of Demailly's holomorphic Morse inequalities as obtained by Bonavero, we express the volume…