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
Subjects:	Arrangement Hyperebene Halbgeordnete Menge Braid Arrangement Kegel cone Varchenko Matrix Determinante Varchenko Matrix, arrangement of hyperplanes, bilinear form Bilinearform Mathematik determinant Mathematics
Online Access:	PDF Full Text
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