Abstract
For each simplicial arrangement in the real projective plane of the catalogue of Grünbaum, we determine the minimal extension of the rationals over which there exists a realization of its incidence structure. For the infinite families we use the symmetries of the incidence. For the sporadic arrangements we give an algorithm that uses Gröbner bases.
Citation
Michael Cuntz. "Minimal fields of definition for simplicial arrangements in the real projective plane." Innov. Incidence Geom. 12 49 - 60, 2011. https://doi.org/10.2140/iig.2011.12.49
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