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Realizability of some Böröoczky arrangements over the rational numbers

Authors :
Marek Janasz
Magdalena Lampa-Baczynska
Daniel Wójcik
Krasiński, Tadeusz
Spodzieja, Stanisław
Uniwersytet Pedagogiczny w Krakowie, Instytut Matematyki
magdalena.lampa-baczynska@up.krakow.pl
Source :
Analitic and Algebraic Geometry 4 ISBN: 9788383310923
Publication Year :
2022
Publisher :
Wydawnictwo Uniwersytetu Łódzkiego, 2022.

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.

Details

Language :
English
ISBN :
978-83-8331-092-3
ISBNs :
9788383310923
Database :
OpenAIRE
Journal :
Analitic and Algebraic Geometry 4 ISBN: 9788383310923
Accession number :
edsair.doi.dedup.....ff2bb76825a5b85644ae4256aa76f207