Geodesic distance and Monge-Amp\`ere measures on contact sets
Differential Geometry
2022-01-10 v2 Complex Variables
Abstract
We prove a geodesic distance formula for quasi-psh functions with finite entropy, extending results by Chen and Darvas. We work with big and nef cohomology classes: a key result we establish is the convexity of the -energy in this general setting. We then study Monge-Amp\`ere measures on contact sets, generalizing a recent result by the first author and Trapani.
Keywords
Cite
@article{arxiv.2112.09627,
title = {Geodesic distance and Monge-Amp\`ere measures on contact sets},
author = {Eleonora Di Nezza and Chinh H. Lu},
journal= {arXiv preprint arXiv:2112.09627},
year = {2022}
}
Comments
27 pages. In the second version we added Corollay 3.3