Non-Archimedean Green’s functions and Zariski decompositions

We study the non-Archimedean Monge–Ampère equation on a smooth projective variety over a discretely or trivially valued field. First, we give an example of a Green’s function, associated to a divisorial valuation, which is not $\mathbb{Q}$-PL (i.e. not a model function in the discretely valued case)...

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Bibliographic Details
Main Authors: Boucksom, Sébastien, Jonsson, Mattias
Format: Article
Language:English
Published: Académie des sciences 2024-06-01
Series:Comptes Rendus. Mathématique
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.579/
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