English

Comparison of Monge-Amp\`ere capacities

Complex Variables 2020-05-12 v1 Differential Geometry

Abstract

Let (X,ω)(X,\omega) be a compact K\"ahler manifold. We prove that all Monge-Amp\`ere capacities are comparable. Using this we give an alternative direct proof of the integration by parts formula for non-pluripolar products recently proved by M. Xia.

Keywords

Cite

@article{arxiv.2005.04264,
  title  = {Comparison of Monge-Amp\`ere capacities},
  author = {Chinh H. Lu},
  journal= {arXiv preprint arXiv:2005.04264},
  year   = {2020}
}
R2 v1 2026-06-23T15:24:59.661Z