Choquet-Monge-Ampere Classes

Abstract

We introduce and study Choquet-Monge-Ampere classes on compact Kahler manifolds. They consist of quasi-plurisubharmonic functions whose sublevel sets have small enough asymptotic Monge-Ampere capacity. We compare them with finite energy classes, which have recently played an important role in Kahler Geometry.

16 pages

References in corpus (1)

• Finite Pluricomplex energy measures