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