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arXiv · 1906.05463

Combinatorially equivalent hyperplane arrangements

Elisa Palezzato·Michele Torielli
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Abstract

We study the combinatorics of hyperplane arrangements over arbitrary fields. Specifically, we determine in which situation an arrangement and its reduction modulo a prime number have isomorphic lattices via the use of minimal strong $σ$-Gröbner bases. Moreover, we prove that the Terao's conjecture over finite fields implies the conjecture over the rationals.

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Elisa Palezzato, Michele Torielli. 2021-04-02. Combinatorially equivalent hyperplane arrangements. https://arxiv.org/abs/1906.05463

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