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Minimal fields of
definition for simplicial arrangements in the real projective
plane
Michael Cuntz |
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Vol. 12 (2011), No. 1, 49–60
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Abstract |
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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. |
Keywords
simplicial arrangement, oriented matroid, field of
definition
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Milestones
Received: 4 May 2010
Accepted: 26 November 2010
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Authors |
| Michael Cuntz | |
| Department of Mathematics University of Kaiserslautern P.O. Box 3049 67653 Kaiserslautern Germany |
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