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arXiv · 2007.09048

The Varchenko Matrix for Dehyperplane Arrangement

Hery Randriamaro
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Abstract

This article computes the Varchenko determinant of dehyperplane arrangements which are generalizations of pseudohyperplane arrangements. But unlike those latter, they are defined on a real manifold, and it is not always possible to obtain a central dehyperplane arrangement by coning. This article also studies the solution space of a linear system defined from a dehyperplane arrangement. That equation system was first introduced by Aguiar and Mahajan for central hyperplane arrangements.

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Hery Randriamaro. 2020-07-17. The Varchenko Matrix for Dehyperplane Arrangement. https://arxiv.org/abs/2007.09048

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