Realizability of some Boroczky arrangements over the rational numbers
Realizability of some Boroczky arrangements over the rational numbers

Author(s): Marek Janasz, Magdalena Lampa-Baczyńska, Daniel Wójcik
Subject(s): Logic
Published by: Wydawnictwo Uniwersytetu Łódzkiego
Keywords: boroczky arrangements; Grobner basis; parametrization; points matrix
Summary/Abstract: In this paper, we study the parameter spaces for Böröoczky arrangements Bn of n lines, where n < 12. We prove that up to n = 12, there exist only one arrangement nonrealizable over the rational numbers, that is B11.

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