dc.contributor.author
Kastner, Lars
dc.contributor.author
Shaw, Kris
dc.contributor.author
Winz, Anna-Lena
dc.date.accessioned
2025-01-29T12:40:37Z
dc.date.available
2025-01-29T12:40:37Z
dc.identifier.uri
https://refubium.fu-berlin.de/handle/fub188/46424
dc.identifier.uri
http://dx.doi.org/10.17169/refubium-46137
dc.description.abstract
We describe a canonical compactification of a polyhedral complex in Euclidean space. When the recession cones of the polyhedral complex form a fan, the compactified polyhedral complex is a subspace of a tropical toric variety. In this case, the procedure is analogous to the tropical compactifications of subvarieties of tori. We give an analysis of the combinatorial structure of the compactification and show that its Hasse diagram can be computed via Ganter’s algorithm. Our algorithm is implemented in and shipped with polymake.
en
dc.format.extent
29 Seiten
dc.rights.uri
https://creativecommons.org/licenses/by/4.0/
dc.subject
Tropical geometry
en
dc.subject
Tropical compactification
en
dc.subject
Polyhedral complex
en
dc.subject.ddc
500 Naturwissenschaften und Mathematik::510 Mathematik::510 Mathematik
dc.title
Tropical Compactification via Ganter’s Algorithm
dc.type
Wissenschaftlicher Artikel
dcterms.bibliographicCitation.doi
10.1007/s00454-023-00581-2
dcterms.bibliographicCitation.journaltitle
Discrete & Computational Geometry
dcterms.bibliographicCitation.number
1
dcterms.bibliographicCitation.pagestart
264
dcterms.bibliographicCitation.pageend
292
dcterms.bibliographicCitation.volume
73
dcterms.bibliographicCitation.url
https://doi.org/10.1007/s00454-023-00581-2
refubium.affiliation
Mathematik und Informatik
refubium.affiliation.other
Institut für Mathematik
refubium.resourceType.isindependentpub
no
dcterms.accessRights.openaire
open access
dcterms.isPartOf.issn
0179-5376
dcterms.isPartOf.eissn
1432-0444
refubium.resourceType.provider
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