On the parameter space of Böröczky configurations

2017/06/27 by Łucja Farnik, Farnik, Łucja, Jakub Kabat +5 · 2 citations
Computer Science · Mathematics · #05B30 #14N20 #52C30 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.1706.09053

openalex publication_date 2017/06/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Böröczky configurations of lines have been recently considered in connection with the problem of the containment between symbolic and ordinary powers of ideals. Here we describe parameter families of Böröczky configurations of 13, 14, 16, 18 and 24 lines and investigate rational points of these parameter spaces.

Cited by

• On the algebraic properties of the Böröczky configuration
• Containment problem and combinatorics

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