Some non-Archimedean pluripotential theory on polarized affine cones
arXiv:2406.13684
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--Ampère operator defined on the finite energy class, partially generalizing a result of Boucksom--Jonsson on projective varieties.
arXiv comment26 pages