A comparison of positivity in complex and tropical toric geometry

URN to cite this document:: urn:nbn:de:bvb:355-epub-525544
DOI to cite this document:: 10.5283/epub.52554

Burgos Gil, José Ignacio ; Gubler, Walter

; Jell, Philipp

; Künnemann, Klaus

Preview

License: Creative Commons Attribution 4.0
PDF - Published Version
(738kB)

Date of publication of this fulltext: 04 Jul 2022 11:55

Alternative links to fulltext:DOI Publisher

This publication is part of the DEAL contract with Springer.

Details

Preview

Indexed in

Export bibliographical data

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 ...