Global pluripotential theory over a trivially valued field
Algebraic Geometry
2022-03-24 v4
Abstract
We develop global pluripotential theory in the setting of Berkovich geometry over a trivially valued field. Specifically, we define and study functions and measures of finite energy and the non-Archimedean Monge-Ampere operator on any (possibly reducible) projective variety. We also investigate the topology of the space of valuations of linear growth, and the behavior of psh functions thereon.
Keywords
Cite
@article{arxiv.1801.08229,
title = {Global pluripotential theory over a trivially valued field},
author = {Sébastien Boucksom and Mattias Jonsson},
journal= {arXiv preprint arXiv:1801.08229},
year = {2022}
}
Comments
143 pages, 1 figure. Various improvements, psh functions now defined and studied relative to any (not necessarily ample) class. Final version, to appear in Ann. Fac. Sci. Toulouse