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arXiv · 1302.4055

Free but not recursively free arrangements

Michael Cuntz·Torsten Hoge
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Abstract

We construct counterexamples to the conjecture that every free arrangement is recursively free in characteristic zero. The intersection lattice of our smallest example has a realization over a finite field which is recursively free, thus recursive freeness is not a combinatorial property of the intersection lattice of an arrangement.

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Michael Cuntz, Torsten Hoge. 2013-02-17. Free but not recursively free arrangements. https://arxiv.org/abs/1302.4055

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