paper

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