Some non-Archimedean pluripotential theory on polarized affine cones

Published 19 Jun 2024 in math.AG and math.CV | (2406.13684v1)

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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Yueqiao Wu

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