Every modularly extended matroid has a divisional flag, so any hyperplane arrangement whose dependence matroid is modularly extended is divisionally free.
Free hyperplane arrangements over arbitrary fields
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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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math.CO 1years
2019 1verdicts
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Modular Construction of Free Hyperplane Arrangements
Every modularly extended matroid has a divisional flag, so any hyperplane arrangement whose dependence matroid is modularly extended is divisionally free.