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arxiv: 1411.1647 · v4 · pith:W5IRCR4Inew · submitted 2014-11-06 · 🧮 math.CO

Computing the Varchenko Determinant of a Bilinear Form

classification 🧮 math.CO
keywords determinantbilinearformhyperplanevarchenkoarrangementarrangementsassociated
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The Varchenko determinant is the determinant of the bilinear form associated to a real hyperplane arrangement. We show that we can obtain the exact value of this determinant for certain hyperplane arrangements if we know the edges which are relevant.

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