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A comparison of positivity in complex and tropical toric geometry

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Burgos Gil, José Ignacio ; Gubler, Walter ; Jell, Philipp ; Künnemann, Klaus
License: Creative Commons Attribution 4.0
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Date of publication of this fulltext: 04 Jul 2022 11:55

This publication is part of the DEAL contract with Springer.


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 ...


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