{"abstract":[{"text":"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.","lang":"eng"}],"citation":{"apa":"Küronya, A., Souza, P., &#38; Ulirsch, M. (2021). Tropicalization of toric prevarieties. In <i>arXiv:2107.03139</i>.","ieee":"A. Küronya, P. Souza, and M. Ulirsch, “Tropicalization of toric prevarieties,” <i>arXiv:2107.03139</i>. 2021.","short":"A. Küronya, P. Souza, M. Ulirsch, ArXiv:2107.03139 (2021).","chicago":"Küronya, Alex, Pedro Souza, and Martin Ulirsch. “Tropicalization of Toric Prevarieties.” <i>ArXiv:2107.03139</i>, 2021.","mla":"Küronya, Alex, et al. “Tropicalization of Toric Prevarieties.” <i>ArXiv:2107.03139</i>, 2021.","ama":"Küronya A, Souza P, Ulirsch M. Tropicalization of toric prevarieties. <i>arXiv:210703139</i>. Published online 2021.","bibtex":"@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} }"},"publication":"arXiv:2107.03139","type":"preprint","date_created":"2026-07-08T06:45:28Z","external_id":{"arxiv":["2107.03139"]},"date_updated":"2026-07-08T06:45:37Z","author":[{"full_name":"Küronya, Alex","last_name":"Küronya","first_name":"Alex"},{"full_name":"Souza, Pedro","last_name":"Souza","first_name":"Pedro"},{"id":"114697","last_name":"Ulirsch","first_name":"Martin","full_name":"Ulirsch, Martin"}],"status":"public","year":"2021","title":"Tropicalization of toric prevarieties","user_id":"82981","language":[{"iso":"eng"}],"_id":"66318"}