Burgos Gil, Jose Ignacio and Gubler, Walter and Jell, Philipp and Kuennemann, Klaus (2021) A comparison of positivity in complex and tropical toric geometry. MATHEMATISCHE ZEITSCHRIFT, 299 (3-4). pp. 1199-1255. ISSN 0025-5874, 1432-1823
Full text not available from this repository. (Request a copy)Abstract
Given a smooth complex toric variety we will compare real Lagerberg forms and currents on its tropicalization with invariant complex forms and currents on the toric variety. Our main result is a correspondence theorem which identifies the cone of invariant closed positive currents on the complex toric variety with closed positive currents on the tropicalization. In a subsequent paper, this correspondence will be used to develop a Bedford-Taylor theory of plurisubharmonic functions on the tropicalization.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Toric varieties; Tropicalization; Positive currents; Lagerberg forms |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Klaus Künnemann Mathematics > Prof. Dr. Walter Gubler |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 10 Aug 2022 08:36 |
| Last Modified: | 10 Aug 2022 08:36 |
| URI: | https://pred.uni-regensburg.de/id/eprint/46266 |
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