English

Choquet-Monge-Ampere Classes

Complex Variables 2016-01-06 v1

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.

Cite

@article{arxiv.1601.00769,
  title  = {Choquet-Monge-Ampere Classes},
  author = {Vincent Guedj and Sibel Sahin and Ahmed Zeriahi},
  journal= {arXiv preprint arXiv:1601.00769},
  year   = {2016}
}

Comments

16 pages

R2 v1 2026-06-22T12:23:05.431Z