Weighted Pluripotential Theory Results of Berman-Boucksom

Abstract

The main goal of these notes, compiled in 2008-2009, is to present a more-or-less self-contained discussion of some of the recent results and techniques of R. Berman and S. Boucksom in the setting of weighted pluripotential theory. We include some background results on pluripotential theory and weighted pluripotential theory, although many items are stated without proof (references are provided). Although slightly dated and certainly not error-free, we hope someone finds them helpful.

References in corpus (3)

• Growth of balls of holomorphic sections and energy at equilibrium
• Transfinite diameter notions in C^N and integrals of Vandermonde determinants
• Transforming metrics on a line bundle to the Okounkov body

Cited by in corpus (6)

• Stochastic collocation on unstructured multivariate meshes
• Polynomial Interpolation and Approximation in C^d
• Large deviations principle for some beta-ensembles
• Optimal Polynomial Admissible Meshes on Some Classes of Compact Subsets of ${\mathbb{R}}^d$
• Relations between Transfinite Diameters on Affine Algebraic Varieties
• Weighted Polya Inequality in Cn