Realizability of some Böröczky arrangements over the rational numbers

Marek Janasz; Magdalena Lampa-Baczynska; Daniel Wójcik

doi:10.18778/8331-092-3

Realizability of some Böröczky arrangements over the rational numbers

Marek Janasz

Pedagogical University of Kraków, Department of Mathematics, Poland

Magdalena Lampa-Baczynska

Pedagogical University of Kraków, Institute of Mathematics, Poland

Daniel Wójcik

Pedagogical University of Kraków, Institute of Mathematics, Poland

Publication:

Analitic and Algebraic Geometry 4

Pages: 83-93

DOI: https://doi.org/10.18778/8331-092-3.08

Keywords: algebraic Geometry, Analitic Geometry

Published: 28 December 2022

Categories: Mathematics, Open Access

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In this paper, we study the parameter spaces for Böröczky arrangements B_n 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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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

How to Cite

Janasz, Marek, Magdalena Lampa-Baczynska, and Daniel Wójcik. 2022. “Realizability of Some Böröczky Arrangements over the Rational Numbers”. In Analitic and Algebraic Geometry 4, edited by Tadeusz Krasiński and Stanisław Spodzieja, 83-93. Poland: Lodz University Press. https://doi.org/10.18778/8331-092-3.08.