Work

Global pluripotential theory over a trivially valued field

Year: 2022

Type: article

Abstract: We develop global pluripotential theory in the setting of Berkovich geometry over a trivially valued field. Specifically, we define and study functions and measures of finite energy and the non-Archimedean Monge–Ampère operator on any (possibly reducible) projective variety. We also investigate the topology of the space of valuations of linear growth, and the behavior of plurisubharmonic functions thereon.

Source: Annales de la faculté des sciences de Toulouse Mathématiques

DOI: 10.5802/afst.1705

Authors: Sébastien Boucksom, Mattias Jonsson

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funders: National Science Foundation, Agence Nationale de la Recherche, United States-Israel Binational Science Foundation, Knut och Alice Wallenbergs Stiftelse

Awards: G1578079380, Non-Archimedean Methods in Complex Analysis, Dynamics, and Geometry, Gromov-Hausdorff convergence in Kähler geometry, Non-Archimedean Techniques in Analysis, Dynamics, and Geometry, G8645630795

OpenAlex ID: W3135656366