---
_id: '66354'
author:
- first_name: Martin
  full_name: Ulirsch, Martin
  id: '114697'
  last_name: Ulirsch
citation:
  ama: 'Ulirsch M. Functorial tropicalization of logarithmic schemes: the case of
    constant coefficients. <i>Proceedings of the London Mathematical Society</i>.
    2017;114(6):1081-1113. doi:<a href="https://doi.org/10.1112/plms.12031">10.1112/plms.12031</a>'
  apa: 'Ulirsch, M. (2017). Functorial tropicalization of logarithmic schemes: the
    case of constant coefficients. <i>Proceedings of the London Mathematical Society</i>,
    <i>114</i>(6), 1081–1113. <a href="https://doi.org/10.1112/plms.12031">https://doi.org/10.1112/plms.12031</a>'
  bibtex: '@article{Ulirsch_2017, title={Functorial tropicalization of logarithmic
    schemes: the case of constant coefficients}, volume={114}, DOI={<a href="https://doi.org/10.1112/plms.12031">10.1112/plms.12031</a>},
    number={6}, journal={Proceedings of the London Mathematical Society}, publisher={Wiley},
    author={Ulirsch, Martin}, year={2017}, pages={1081–1113} }'
  chicago: 'Ulirsch, Martin. “Functorial Tropicalization of Logarithmic Schemes: The
    Case of Constant Coefficients.” <i>Proceedings of the London Mathematical Society</i>
    114, no. 6 (2017): 1081–1113. <a href="https://doi.org/10.1112/plms.12031">https://doi.org/10.1112/plms.12031</a>.'
  ieee: 'M. Ulirsch, “Functorial tropicalization of logarithmic schemes: the case
    of constant coefficients,” <i>Proceedings of the London Mathematical Society</i>,
    vol. 114, no. 6, pp. 1081–1113, 2017, doi: <a href="https://doi.org/10.1112/plms.12031">10.1112/plms.12031</a>.'
  mla: 'Ulirsch, Martin. “Functorial Tropicalization of Logarithmic Schemes: The Case
    of Constant Coefficients.” <i>Proceedings of the London Mathematical Society</i>,
    vol. 114, no. 6, Wiley, 2017, pp. 1081–113, doi:<a href="https://doi.org/10.1112/plms.12031">10.1112/plms.12031</a>.'
  short: M. Ulirsch, Proceedings of the London Mathematical Society 114 (2017) 1081–1113.
date_created: 2026-07-08T07:24:50Z
date_updated: 2026-07-08T07:41:34Z
doi: 10.1112/plms.12031
intvolume: '       114'
issue: '6'
language:
- iso: eng
page: 1081-1113
publication: Proceedings of the London Mathematical Society
publication_identifier:
  issn:
  - 0024-6115
  - 1460-244X
publication_status: published
publisher: Wiley
status: public
title: 'Functorial tropicalization of logarithmic schemes: the case of constant coefficients'
type: journal_article
user_id: '82981'
volume: 114
year: '2017'
...