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Free hyperplane arrangements over arbitrary fields

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arxiv 1803.09908 v1 pith:PRJTGZAL submitted 2018-03-27 math.AG math.ACmath.CO

Elisa Palezzato , Michele Torielli This is my paper · ORCID
classification math.AGmath.ACmath.CO
keywords arrangementsfreefreenesshyperplanearbitrarycharacteristicclassfield
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abstract

In this paper, we study the class of free hyperplane arrangements. Specifically, we investigate the relations between freeness over a field of finite characteristic and freeness over $\mathbb{Q}$.

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  1. Modular Construction of Free Hyperplane Arrangements

    math.CO 2019-08 accept novelty 7.0 of 10

    Every modularly extended matroid has a divisional flag, so any hyperplane arrangement whose dependence matroid is modularly extended is divisionally free.

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