| dc.date.accessioned | 2020-04-21T18:17:28Z | |
| dc.date.available | 2020-04-21T18:17:28Z | |
| dc.date.created | 2017-09-17T00:33:29Z | |
| dc.date.issued | 2020 | |
| dc.identifier.citation | Rincon, Felipe Lopez de Medrano, Lucia Shaw, Kristin . CSM cycles of matroids. Proceedings of the London Mathematical Society. 2020, 120(1), 1-27 | |
| dc.identifier.uri | http://hdl.handle.net/10852/74695 | |
| dc.description.abstract | We define Chern–Schwartz–MacPherson (CSM) cycles of an arbitrary matroid. These are balanced weighted fans supported on the skeleta of the corresponding Bergman fan. In the case that the matroid arises from a complex hyperplane arrangement 𝒜, we show that these cycles represent the CSM class of the complement of 𝒜. We also prove that for any matroid, the degrees of its CSM cycles are given by the coefficients of (a shift of) the reduced characteristic polynomial, and that CSM cycles are valuations under matroid polytope subdivisions. | |
| dc.language | EN | |
| dc.title | CSM cycles of matroids | |
| dc.type | Journal article | |
| dc.creator.author | Rincon, Felipe | |
| dc.creator.author | Lopez de Medrano, Lucia | |
| dc.creator.author | Shaw, Kristin | |
| cristin.unitcode | 185,15,13,55 | |
| cristin.unitname | Algebra, geometri og topologi | |
| cristin.ispublished | true | |
| cristin.fulltext | postprint | |
| cristin.qualitycode | 2 | |
| dc.identifier.cristin | 1811721 | |
| dc.identifier.bibliographiccitation | info:ofi/fmt:kev:mtx:ctx&ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Proceedings of the London Mathematical Society&rft.volume=120&rft.spage=1&rft.date=2020 | |
| dc.identifier.jtitle | Proceedings of the London Mathematical Society | |
| dc.identifier.volume | 120 | |
| dc.identifier.issue | 1 | |
| dc.identifier.startpage | 1 | |
| dc.identifier.endpage | 27 | |
| dc.identifier.doi | https://doi.org/10.1112/plms.12278 | |
| dc.identifier.urn | URN:NBN:no-77800 | |
| dc.type.document | Tidsskriftartikkel | |
| dc.type.peerreviewed | Peer reviewed | |
| dc.source.issn | 0024-6115 | |
| dc.identifier.fulltext | Fulltext https://www.duo.uio.no/bitstream/handle/10852/74695/1/CSMmatroidsLMS.pdf | |
| dc.type.version | AcceptedVersion | |
| dc.relation.project | NFR/239968 | |