Free but not recursively free arrangements
Algebraic Geometry
2013-02-19 v1 Combinatorics
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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Cite
@article{arxiv.1302.4055,
title = {Free but not recursively free arrangements},
author = {Michael Cuntz and Torsten Hoge},
journal= {arXiv preprint arXiv:1302.4055},
year = {2013}
}
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7 pages