Tropicalization of toric prevarieties Küronya, Alex Souza, Pedro Ulirsch, Martin The homogeneous spectrum of a multigraded finitely generated algebra (in the sense of Brenner-Schröer) always admits an embedding into a toric variety that is not necessarily separated, a so-called toric prevariety. In order to have a convenient framework to study the tropicalization of homogeneous spectra we propose a tropicalization procedure for toric prevarieties and study its basic properties. With these tools at hand, we prove a generalization of Payne's and Foster--Gross--Payne's tropical limit theorem for divisorial schemes. 2021 info:eu-repo/semantics/preprint doc-type:preprint text http://purl.org/coar/resource_type/c_816b https://ris.uni-paderborn.de/record/66318 Küronya A, Souza P, Ulirsch M. Tropicalization of toric prevarieties. <i>arXiv:210703139</i>. Published online 2021. eng info:eu-repo/semantics/altIdentifier/arxiv/2107.03139 info:eu-repo/semantics/closedAccess