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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Bibliografiske detaljer
Hovedforfatter: Gente, Regina
Andre forfattere: Welker, Volkmar (Prof. Dr.) (BetreuerIn (Doktorarbeit))
Format: Dissertation
Sprog:engelsk
Udgivet: Philipps-Universität Marburg 2013
Fag:
Arrangement
Hyperebene
cone
Halbgeordnete Menge
Kegel
Varchenko Matrix, arrangement of hyperplanes, bilinear form
Varchenko Matrix
determinant
Determinante
Braid Arrangement
Bilinearform
Mathematik
Mathematics
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