Stability of Monge-Amp\`ere energy classes
Complex Variables
2013-12-02 v1 Differential Geometry
Abstract
We show that the non pluripolar product of positive currents is a bimeromorphic invariant. Under some natural assumptions, we show that the (weighted) energy associated to big cohomology classes are also bimeromorphic invariants. We compare the weighted energy functionals of currents with respect to different cohomology classes and establish quantitative estimates between big capacities.
Keywords
Cite
@article{arxiv.1311.7301,
title = {Stability of Monge-Amp\`ere energy classes},
author = {Eleonora Di Nezza},
journal= {arXiv preprint arXiv:1311.7301},
year = {2013}
}
Comments
22 pages, comments are welcome