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.
Book: Analitic and Algebraic Geometry 4
- Page Range: 83-93
- Page Count: 22
- Publication Year: 2022
- Language: English
- Content File-PDF