Vilsmeier, Christian (2021) A comparison of the real and non-archimedean Monge-Ampere operator. MATHEMATISCHE ZEITSCHRIFT, 297 (1-2). pp. 633-668. ISSN 0025-5874, 1432-1823
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Let X be a proper algebraic variety over a non-archimedean, non-trivially valued field. We show that the non-archimedean Monge-Ampere measure of a metric arising from a convex function on an open face of some skeleton of Xanis equal to the real Monge-Ampere measure of that function up to multiplication by a constant. As a consequence we obtain a regularity result for solutions of the non-archimedean Monge-Ampere problem on curves.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | LOCAL PROPERTIES; ANALYTIC SPACES; COHOMOLOGY; GEOMETRY; HEIGHTS; THEOREM; Monge-Ampere operator; Berkovich spaces; Metrics; Tropical geometry |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 28 Feb 2022 05:55 |
| Last Modified: | 28 Feb 2022 05:55 |
| URI: | https://pred.uni-regensburg.de/id/eprint/44778 |
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