| dc.contributor.author | FINK, A | en_US |
| dc.contributor.author | Speyer, DE | en_US |
| dc.contributor.author | Woo, A | en_US |
| dc.date.accessioned | 2017-06-27T13:09:00Z | |
| dc.date.available | 2017-06-15 | en_US |
| dc.date.issued | 2017-08-02 | en_US |
| dc.date.submitted | 2017-06-21T09:10:10.488Z | |
| dc.identifier.uri | http://qmro.qmul.ac.uk/xmlui/handle/123456789/24599 | |
| dc.description.abstract | Given the complement of a hyperplane arrangement, let Γ be the closure of the graph of the map inverting each of its defining linear forms. The characteristic polynomial manifests itself in the Hilbert series of Γ in two different-seeming ways, one due to Orlik and Terao and the other to Huh and Katz. We define an extension of the no broken circuit complex of a matroid and use it to give a direct Gröbner basis argument that the polynomials extracted from the Hilbert series in these two ways agree. | en_US |
| dc.language | English | en_US |
| dc.publisher | Rocky Mountain Mathematics Consortium | en_US |
| dc.relation.ispartof | Journal of Commutative Algebra | en_US |
| dc.rights | This is a pre-copyedited, author-produced version of an article accepted for publication in Journal of Commutative Algebra following peer review. | |
| dc.title | A Gröbner basis for the graph of the reciprocal plane | en_US |
| dc.type | Article | |
| dc.rights.holder | © Rocky Mountain Mathematics Consortium | |
| pubs.notes | 24 months | en_US |
| pubs.notes | per https://rmmc.asu.edu/CopyrightTransfer.html | en_US |
| pubs.publication-status | Published | en_US |
| pubs.publisher-url | https://rmmc.asu.edu/index.html | en_US |
| dcterms.dateAccepted | 2017-06-15 | en_US |
| qmul.funder | Algebra and geometry of matroids::Engineering and Physical Sciences Research Council | en_US |
