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<titleInfo><title>Tropical compactification in log-regular varieties</title></titleInfo>





<name type="personal">
  <namePart type="given">Martin</namePart>
  <namePart type="family">Ulirsch</namePart>
  <role><roleTerm type="text">author</roleTerm> </role><identifier type="local">114697</identifier></name>














<abstract lang="eng">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&apos;s results on tropical compactification as well as Hacking&apos;s result on the cohomology of the link of a tropical variety to log-regular varieties.</abstract>

<originInfo><dateIssued encoding="w3cdtf">2013</dateIssued>
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<language><languageTerm authority="iso639-2b" type="code">eng</languageTerm>
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<relatedItem type="host"><titleInfo><title>arXiv:1309.4011</title></titleInfo>
  <identifier type="arXiv">1309.4011</identifier><identifier type="doi">10.1007/s00209-015-1418-7</identifier>
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<mla>Ulirsch, Martin. “Tropical Compactification in Log-Regular Varieties.” &lt;i&gt;ArXiv:1309.4011&lt;/i&gt;, 2013, doi:&lt;a href=&quot;https://doi.org/10.1007/s00209-015-1418-7&quot;&gt;10.1007/s00209-015-1418-7&lt;/a&gt;.</mla>
<bibtex>@article{Ulirsch_2013, title={Tropical compactification in log-regular varieties}, DOI={&lt;a href=&quot;https://doi.org/10.1007/s00209-015-1418-7&quot;&gt;10.1007/s00209-015-1418-7&lt;/a&gt;}, journal={arXiv:1309.4011}, author={Ulirsch, Martin}, year={2013} }</bibtex>
<ama>Ulirsch M. Tropical compactification in log-regular varieties. &lt;i&gt;arXiv:13094011&lt;/i&gt;. Published online 2013. doi:&lt;a href=&quot;https://doi.org/10.1007/s00209-015-1418-7&quot;&gt;10.1007/s00209-015-1418-7&lt;/a&gt;</ama>
<ieee>M. Ulirsch, “Tropical compactification in log-regular varieties,” &lt;i&gt;arXiv:1309.4011&lt;/i&gt;, 2013, doi: &lt;a href=&quot;https://doi.org/10.1007/s00209-015-1418-7&quot;&gt;10.1007/s00209-015-1418-7&lt;/a&gt;.</ieee>
<apa>Ulirsch, M. (2013). Tropical compactification in log-regular varieties. &lt;i&gt;ArXiv:1309.4011&lt;/i&gt;. &lt;a href=&quot;https://doi.org/10.1007/s00209-015-1418-7&quot;&gt;https://doi.org/10.1007/s00209-015-1418-7&lt;/a&gt;</apa>
<short>M. Ulirsch, ArXiv:1309.4011 (2013).</short>
<chicago>Ulirsch, Martin. “Tropical Compactification in Log-Regular Varieties.” &lt;i&gt;ArXiv:1309.4011&lt;/i&gt;, 2013. &lt;a href=&quot;https://doi.org/10.1007/s00209-015-1418-7&quot;&gt;https://doi.org/10.1007/s00209-015-1418-7&lt;/a&gt;.</chicago>
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