The Varchenko Matrix for Cones

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