The Varchenko Matrix for Cones

Consider an arrangement of hyperplanes and assign to each hyperplane a weight. By using this weights Varchenko defines a bilinear form on the vector space freely generated by the regions of the arrangement. We define this bilinear form for cones of the arrangement. Then we show that the determinant...

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Bibliographic Details
Main Author: Gente, Regina
Contributors: Welker, Volkmar (Prof. Dr.) (Thesis advisor)
Format: Dissertation
Language:English
Published: Philipps-Universität Marburg 2013
Mathematik und Informatik
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Call Number: urn:nbn:de:hebis:04-z2013-04804
Downloads: 11 (2019), 6 (2018), 27 (2017), 32 (2016)
Publication Date: 2013-10-28
License: According to UrhG § 31 (2), the author has granted the University Library Marburg the right of use for electronic publication on the Internet and for archiving on its archive server. He has declared that with the granting of the right of use according to UrhG § 31 (3) no exclusive rights of third parties are violated. All other rights for the exploitation of the publication remain with the author.
Access URL: http://archiv.ub.uni-marburg.de/diss/z2013/0480
https://doi.org/10.17192/z2013.0480