论文标题

用于脱皮平面布置的Varchenko矩阵

The Varchenko Matrix for Dehyperplane Arrangement

论文作者

Randriamaro, Hery

论文摘要

本文计算了脱皮平面布置的瓦尔贡科决定因素,这些脱皮平面布置是伪基平面布置的概括。但是,与后者不同,它们是在实际的歧管上定义的,并且并非总是有可能通过圆锥体获得中央脱皮平面布置。本文还研究了由脱皮平面布置定义的线性系统的解决方案空间。该方程式系统首先是由Aguiar和Mahajan引入的,用于中央超平面布置。

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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