| dc.contributor.author | Gao, Yibo | |
| dc.contributor.author | Zhang, YiYu | |
| dc.date.accessioned | 2021-09-20T17:20:17Z | |
| dc.date.available | 2021-09-20T17:20:17Z | |
| dc.date.issued | 2018-02-07 | |
| dc.identifier.uri | https://hdl.handle.net/1721.1/131534 | |
| dc.description.abstract | Abstract
Varchenko (Adv Math 97(1):110–144, 1993) defined the Varchenko matrix associated with any real hyperplane arrangement and computed its determinant. In this paper, we show that the Varchenko matrix of a hyperplane arrangement has a diagonal form if and only if it is semigeneral, i.e., without degeneracy. In the case of semigeneral arrangement, we present an explicit computation of the diagonal form via combinatorial arguments and matrix operations, thus giving a combinatorial interpretation of the diagonal entries. | en_US |
| dc.publisher | Springer US | en_US |
| dc.relation.isversionof | https://doi.org/10.1007/s10801-018-0813-7 | en_US |
| dc.rights | Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. | en_US |
| dc.source | Springer US | en_US |
| dc.title | Diagonal form of the Varchenko matrices | en_US |
| dc.type | Article | en_US |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | |
| 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 | 2020-09-24T21:29:56Z | |
| dc.language.rfc3066 | en | |
| dc.rights.holder | Springer Science+Business Media, LLC, part of Springer Nature | |
| dspace.embargo.terms | Y | |
| dspace.date.submission | 2020-09-24T21:29:56Z | |
| mit.license | PUBLISHER_POLICY | |
| mit.metadata.status | Authority Work and Publication Information Needed | |
