Some non-Archimedean pluripotential theory on polarized affine cones

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.