A comparison of positivity in complex and tropical toric geometry

Autor:	Gil, J. I. Burgos, Gubler, W., Jell, P., Künnemann, K.
Rok vydání:	2020
Předmět:	Mathematics - Algebraic Geometry Mathematics - Complex Variables Mathematics - Number Theory Primary 14L32 Secondary 14T05 32U05 32U40
Druh dokumentu:	Working Paper
Popis:	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. Comment: Final version, 50 pages, 1 figure, to appear in Mathematische Zeitschrift
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2003.08644 Zobrazit plný text záznamu View this record from Arxiv