preprint Alex Küronya author Pedro Souza author Martin Ulirsch author 114697 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 eng 2107.03139 Küronya, Alex, et al. “Tropicalization of Toric Prevarieties.” <i>ArXiv:2107.03139</i>, 2021. @article{Küronya_Souza_Ulirsch_2021, title={Tropicalization of toric prevarieties}, journal={arXiv:2107.03139}, author={Küronya, Alex and Souza, Pedro and Ulirsch, Martin}, year={2021} } Küronya A, Souza P, Ulirsch M. Tropicalization of toric prevarieties. <i>arXiv:210703139</i>. Published online 2021. A. Küronya, P. Souza, and M. Ulirsch, “Tropicalization of toric prevarieties,” <i>arXiv:2107.03139</i>. 2021. Küronya, A., Souza, P., &#38; Ulirsch, M. (2021). Tropicalization of toric prevarieties. In <i>arXiv:2107.03139</i>. A. Küronya, P. Souza, M. Ulirsch, ArXiv:2107.03139 (2021). Küronya, Alex, Pedro Souza, and Martin Ulirsch. “Tropicalization of Toric Prevarieties.” <i>ArXiv:2107.03139</i>, 2021. 663182026-07-08T06:45:28Z2026-07-08T06:45:37Z