---
_id: '66355'
abstract:
- lang: eng
  text: In this article we define a natural tropicalization procedure for closed subsets
    of log-regular varieties in the case of constant coefficients and study its basic
    properties. This framework allows us to generalize some of Tevelev's results on
    tropical compactification as well as Hacking's result on the cohomology of the
    link of a tropical variety to log-regular varieties.
author:
- first_name: Martin
  full_name: Ulirsch, Martin
  id: '114697'
  last_name: Ulirsch
citation:
  ama: Ulirsch M. Tropical compactification in log-regular varieties. <i>arXiv:13094011</i>.
    Published online 2013. doi:<a href="https://doi.org/10.1007/s00209-015-1418-7">10.1007/s00209-015-1418-7</a>
  apa: Ulirsch, M. (2013). Tropical compactification in log-regular varieties. <i>ArXiv:1309.4011</i>.
    <a href="https://doi.org/10.1007/s00209-015-1418-7">https://doi.org/10.1007/s00209-015-1418-7</a>
  bibtex: '@article{Ulirsch_2013, title={Tropical compactification in log-regular
    varieties}, DOI={<a href="https://doi.org/10.1007/s00209-015-1418-7">10.1007/s00209-015-1418-7</a>},
    journal={arXiv:1309.4011}, author={Ulirsch, Martin}, year={2013} }'
  chicago: Ulirsch, Martin. “Tropical Compactification in Log-Regular Varieties.”
    <i>ArXiv:1309.4011</i>, 2013. <a href="https://doi.org/10.1007/s00209-015-1418-7">https://doi.org/10.1007/s00209-015-1418-7</a>.
  ieee: 'M. Ulirsch, “Tropical compactification in log-regular varieties,” <i>arXiv:1309.4011</i>,
    2013, doi: <a href="https://doi.org/10.1007/s00209-015-1418-7">10.1007/s00209-015-1418-7</a>.'
  mla: Ulirsch, Martin. “Tropical Compactification in Log-Regular Varieties.” <i>ArXiv:1309.4011</i>,
    2013, doi:<a href="https://doi.org/10.1007/s00209-015-1418-7">10.1007/s00209-015-1418-7</a>.
  short: M. Ulirsch, ArXiv:1309.4011 (2013).
date_created: 2026-07-08T07:25:16Z
date_updated: 2026-07-08T09:25:32Z
doi: 10.1007/s00209-015-1418-7
external_id:
  arxiv:
  - '1309.4011'
language:
- iso: eng
publication: arXiv:1309.4011
status: public
title: Tropical compactification in log-regular varieties
type: journal_article
user_id: '82981'
year: '2013'
...