Some non-Archimedean pluripotential theory on polarized affine cones

Fuente: arXiv
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Autor principal: Wu, Yueqiao
Formato: Preprint
Publicado: 2024
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author Wu, Yueqiao
author_facet Wu, Yueqiao
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2406_13684
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Some non-Archimedean pluripotential theory on polarized affine cones
Wu, Yueqiao
Algebraic Geometry
Complex Variables
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.
title Some non-Archimedean pluripotential theory on polarized affine cones
topic Algebraic Geometry
Complex Variables
url https://arxiv.org/abs/2406.13684