| dc.contributor.author | Ardila, Federico | |
| dc.contributor.author | Castillo, Federico | |
| dc.contributor.author | Eur, Christopher | |
| dc.contributor.author | Postnikov, Alexander | |
| dc.date.accessioned | 2022-07-11T17:52:07Z | |
| dc.date.available | 2021-10-27T20:34:45Z | |
| dc.date.available | 2022-07-11T17:52:07Z | |
| dc.date.issued | 2020 | |
| dc.identifier.uri | https://hdl.handle.net/1721.1/136293.2 | |
| dc.description.abstract | © 2020 Elsevier Inc. We describe the cone of deformations of a Coxeter permutahedron, or equivalently, the nef cone of the toric variety associated to a Coxeter complex. This class of polytopes contains important families such as weight polytopes, signed graphic zonotopes, Coxeter matroids, root cones, and Coxeter associahedra. Our description extends the known correspondence between generalized permutahedra, polymatroids, and submodular functions to any finite reflection group. | en_US |
| dc.language.iso | en | |
| dc.publisher | Elsevier BV | en_US |
| dc.relation.isversionof | 10.1016/J.AIM.2020.107039 | en_US |
| dc.rights | Creative Commons Attribution-NonCommercial-NoDerivs License | en_US |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | en_US |
| dc.source | arXiv | en_US |
| dc.title | Coxeter submodular functions and deformations of Coxeter permutahedra | en_US |
| dc.type | Article | en_US |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | en_US |
| dc.relation.journal | Advances in Mathematics | en_US |
| dc.eprint.version | Author's final manuscript | en_US |
| dc.type.uri | http://purl.org/eprint/type/JournalArticle | en_US |
| eprint.status | http://purl.org/eprint/status/PeerReviewed | en_US |
| dc.date.updated | 2021-05-26T11:59:03Z | |
| dspace.orderedauthors | Ardila, F; Castillo, F; Eur, C; Postnikov, A | en_US |
| dspace.date.submission | 2021-05-26T11:59:05Z | |
| mit.journal.volume | 365 | en_US |
| mit.license | PUBLISHER_CC | |
| mit.metadata.status | Publication Information Needed | en_US |
