Energy Minimization Principle for non-archimedean curves

Wanner, Veronika (2022) Energy Minimization Principle for non-archimedean curves. JOURNAL DE THEORIE DES NOMBRES DE BORDEAUX, 34 (1). pp. 1-39. ISSN 1246-7405, 2118-8572

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Abstract

Baker and Rumely defined a notion of Arakelov-Green's functions on the Berkovich analytification of the projective line and established an Energy Minimization Principle. We extend their definition and show their Energy Minimization Principle for general smooth projective curves. As an application we get a generalization and a different proof of an equidistribution result by Baker and Petsche.

Item Type: Article
Uncontrolled Keywords: EQUIDISTRIBUTION; POINTS;
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics > Prof. Dr. Walter Gubler
Depositing User: Dr. Gernot Deinzer
Date Deposited: 31 Oct 2023 07:00
Last Modified: 31 Oct 2023 07:00
URI: https://pred.uni-regensburg.de/id/eprint/56544

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