Some non-Archimedean pluripotential theory on polarized affine cones
Algebraic Geometry
2024-06-21 v1 Complex Variables
Abstract
We undertake a preliminary step towards studying non-Archimedean pluripotential theory on polarized affine cones over a trivially valued field. We study plurisubharmonic functions and the Monge--Amp\`ere operator defined on the finite energy class, partially generalizing a result of Boucksom--Jonsson on projective varieties.
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Cite
@article{arxiv.2406.13684,
title = {Some non-Archimedean pluripotential theory on polarized affine cones},
author = {Yueqiao Wu},
journal= {arXiv preprint arXiv:2406.13684},
year = {2024}
}
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26 pages