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Inductively Free Multiderivations of Braid Arrangements

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Abstract

The reflection arrangement of a Coxeter group is a well-known instance of a free hyperplane arrangement. In 2002, Terao showed that equipped with a constant multiplicity each such reflection arrangement gives rise to a free multiarrangement. In this note we show that this multiarrangment satisfies the stronger property of inductive freeness in case the Coxeter group is of type A.

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  1. Fakultät für Mathematik, Ruhr-Universität Bochum, D-44780, Bochum, Germany

    Henning Conrad & Gerhard Röhrle

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  1. Henning Conrad
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  2. Gerhard Röhrle
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Correspondence to Gerhard Röhrle.

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Conrad, H., Röhrle, G. Inductively Free Multiderivations of Braid Arrangements. Ann. Comb. 20, 719–735 (2016). https://doi.org/10.1007/s00026-016-0335-8

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  • DOI: https://doi.org/10.1007/s00026-016-0335-8

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