316 citations
- University of GothenburgSE16 papers
- Centre National de la Recherche ScientifiqueFR8 papers
- Lund UniversitySE5 papers
- Uppsala UniversitySE4 papers
- European Organization for Nuclear ResearchCH3 papers
- King's College LondonGB3 papers
- Lawrence Livermore National LaboratoryUS3 papers
- Örebro UniversitySE3 papers
- Rutgers, The State University of New JerseyUS3 papers
- Scuola Normale SuperioreIT3 papers
- Sorbonne UniversitéFR3 papers
- University of California, BerkeleyUS3 papers
7 papers · 1 filter
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…
Regularity of plurisubharmonic upper envelopes in big cohomology classes
Robert Berman, Jean-Pierre Demailly
The goal of this work is to prove the regularity of certain quasi-plurisubharmonic upper envelopes. Such envelopes appear in a natural way in the construction of hermitian metrics…
Ramadanov conjecture and line bundles over compact Hermitian symmetric spaces
M. Englis, G. K. Zhang
We compute the Szegö kernels of the unit circle bundles of homogeneous negative line bundles over a compact Hermitian symmetric space. We prove that their logarithmic terms vanish…
Explicit representation of membership in polynomial ideals
Mats Andersson, Elin Götmark
We introduce a new division formula on projective space which provides explicit solutions to various polynomial division problems with sharp degree estimates. We consider simple ex…
Residue currents constructed from resolutions of monomial ideals
Elizabeth Wulcan
Given a free resolution of an ideal of holomorphic functions, one can construct a vector valued residue current , whose annihilator is precisely . In this paper we comput…