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TitleMinimal fields of definition for simplicial arrangements in the real projective plane.
Author(s) Michael Cuntz
TypeArticle in Journal
AbstractFor each simplicial arrangement in the real projective plane of the catalogue of B. Grünbaum [Ars Math. Contemp. 2, No. 1, 125 (2009; Zbl 1177.51020)], 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.
Keywordssimplical arrangement; oriented matroid; field of definition
ISSN1781-6475
LanguageEnglish
JournalInnov. Incidence Geom.
Volume12
Pages49--60
PublisherAcademia Press, Gent
Year2011
Edition0
Translation No
Refereed No
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