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Arrangements, Local Systems and Singularities pp 1–38Cite as

Combinatorics of Covers of Complexified Hyperplane Arrangements

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Part of the book series: Progress in Mathematics ((PM,volume 283))

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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Author information

Authors and Affiliations

  1. Department of Mathematical Sciences, State University of New York, Binghamton, NY, 13902-6000, USA

    Emanuele Delucchi

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  1. Emanuele Delucchi
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Editor information

Editors and Affiliations

  1. Institute of Mathematics, Case 7012, 2 place Jussieu, 75251, Paris Cedex 05, France

    Fouad El Zein

  2. Center for Advanced Mathematical Sciences (CAMS), American University of Beirut, P.O. Box 11-236, Beirut, Lebanon

    Fouad El Zein

  3. Department of Mathematics, Northeastern University, 360 Huntington Avenue, Boston, MA, 02115, USA

    Alexandru I. Suciu

  4. Mathematics Department, Galatasaray University, Ciragan Cad. No 36 Besiktas, 34357, Istanbul, Turkey

    Meral Tosun  & A. Muhammed Uludağ  & 

  5. Department of Mathematics, University of Oregon, Eugene, OR, 97405, USA

    Sergey Yuzvinsky

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Delucchi, E. (2009). Combinatorics of Covers of Complexified Hyperplane Arrangements. In: El Zein, F., Suciu, A.I., Tosun, M., Uludağ, A.M., Yuzvinsky, S. (eds) Arrangements, Local Systems and Singularities. Progress in Mathematics, vol 283. Birkhäuser Basel. https://doi.org/10.1007/978-3-0346-0209-9_1

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