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Título: | A comparison of positivity in complex and tropical toric geometry |
Autor: | Burgos Gil, José Ignacio; Gubler, Walter; Jell, Philipp; Künnemann, Klaus | Fecha de publicación: | 2021 | Editor: | Springer Nature | Citación: | Mathematische Zeitschrift 299: 1199- 1255 (2021) | Resumen: | 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. | Versión del editor: | http://dx.doi.org/10.1007/s00209-021-02697-8 | URI: | http://hdl.handle.net/10261/253298 | DOI: | 10.1007/s00209-021-02697-8 | Identificadores: | doi: 10.1007/s00209-021-02697-8 issn: 0025-5874 |
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