Jell, Philipp and Wanner, Veronika (2018) Poincare duality for the tropical Dolbeault cohomology of non-archimedean Mumford curves. JOURNAL OF NUMBER THEORY, 187. pp. 344-371. ISSN 0022-314X, 1096-1658
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We calculate the tropical Dolbeault cohomology for the analytifications of P-1 and Mumford curves over non-archimedean fields. We show that the cohomology satisfies Poincare duality and behaves analogously to the cohomology of curves over the complex numbers. Further, we give a complete calculation of the dimension of the cohomology on a basis of the topology. (C) 2017 Elsevier Inc. All rights reserved.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | BERKOVICH SPACES; Non-archimedean geometry; Berkovich spaces; Non-archimedean curves; Mumford curves; Smooth differential forms on; Berkovich spaces; Tropicalizations; Poincare duality |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Walter Gubler |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 11 Mar 2020 12:19 |
| Last Modified: | 11 Mar 2020 12:19 |
| URI: | https://pred.uni-regensburg.de/id/eprint/14548 |
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