Boucksom, Sebastien and Gubler, Walter and Martin, Florent (2022) Differentiability of Relative Volumes Over an Arbitrary Non-Archimedean Field. INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2022 (8). pp. 6214-6242. ISSN 1073-7928, 1687-0247
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Given an ample line bundle L on a geometrically reduced projective scheme defined over an arbitrary non-Archimedean field, we establish a differentiability property for the relative volume of two continuous metrics on the Berkovich analytification of L, extending previously known results in the discretely valued case. As applications, we provide fundamental solutions to certain non-Archimedean Monge-Ampere equations and generalize an equidistribution result for Fekete points. Our main technical input comes from determinant of cohomology and Deligne pairings.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | ; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Walter Gubler |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 09 Jan 2024 10:44 |
| Last Modified: | 09 Jan 2024 10:44 |
| URI: | https://pred.uni-regensburg.de/id/eprint/57124 |
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