Wanner, Veronika (2019) Comparison of two notions of subharmonicity on non-archimedean curves. MATHEMATISCHE ZEITSCHRIFT, 293 (1-2). pp. 443-474. ISSN 0025-5874, 1432-1823
Full text not available from this repository. (Request a copy)Abstract
We show that a continuous function on the analytification of a smooth proper algebraic curve over a non-archimedean field is subharmonic in the sense of Thuillier if and only if it is psh, i.e. subharmonic in the sense of Chambert-Loir and Ducros. This equivalence implies that the property psh for continuous functions is stable under pullback with respect to morphisms of curves. Furthermore, we prove an analogue of the monotone regularization theorem on the analytification of P1 and Mumford curves using this equivalence.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | GEOMETRY; Subharmonic functions; Superforms; Berkovich spaces; Tropical geometry |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 27 Mar 2020 06:07 |
| Last Modified: | 27 Mar 2020 06:07 |
| URI: | https://pred.uni-regensburg.de/id/eprint/26174 |
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