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VOL. 62 | 2012 Resonance webs of hyperplane arrangements
Jorge Vitório Pereira

Editor(s) Hiroaki Terao, Sergey Yuzvinsky

Abstract

Each irreducible component of the first resonance variety of a hyperplane arrangement naturally determines a codimension one foliation on the ambient space. The superposition of these foliations define what we call the resonance web of the arrangement. In this paper we initiate the study of these objects with emphasis on their spaces of abelian relations.

Information

Published: 1 January 2012
First available in Project Euclid: 24 November 2018

zbMATH: 1261.52015
MathSciNet: MR2933800

Digital Object Identifier: 10.2969/aspm/06210261

Subjects:
Primary: 52C35, 53A60

Rights: Copyright © 2012 Mathematical Society of Japan

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