Comparison of Monge–Ampère capacities
Volume 126 / 2021
Annales Polonici Mathematici 126 (2021), 31-53
MSC: 32W20, 32U05, 32Q15.
DOI: 10.4064/ap200513-2-1
Published online: 2 March 2021
Abstract
Let $(X,\omega )$ be a compact Kähler manifold. We prove that all Monge–Ampère capacities are comparable. Using this we give a direct proof of the integration by parts formula for non-pluripolar products recently proved by M. Xia.
