Minimal fields of definition for simplicial arrangements in the real projective plane
Michael Cuntz · Innovations in incidence geometry · 2011
For each simplicial arrangement in the real projective plane of the catalogue of Grünbaum [4], 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.