Combinatorics of Covers of Complexified Hyperplane Arrangements

Delucchi, Emanuele (2009) Combinatorics of Covers of Complexified Hyperplane Arrangements. In: Arrangements, Local Systems and Singularities. Birkhäuser, pp. 1-38.

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Abstract

This is a survey of combinatorial models for covering spaces of the complement of a complexified hyperplane arrangement. We obtain a unified picture of the subject, and a generalization of various known results, by exploiting the toolkit of homotopy colimits for combinatorial applications developed by Welker, Ziegler and Živaljević.

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