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: Doctoral Thesis
Language:English
Published: Philipps-Universität Marburg 2013
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Call Number: urn:nbn:de:hebis:04-z2013-04804
Publication Date: 2013-10-28
Date of Acceptance: 2013-09-19
Downloads: 13 (2024), 74 (2023), 43 (2022), 33 (2021), 19 (2020), 15 (2019), 6 (2018)
License: https://rightsstatements.org/vocab/InC-NC/1.0/
Access URL: https://archiv.ub.uni-marburg.de/diss/z2013/0480
https://doi.org/10.17192/z2013.0480