The realization spaces of certain conic-line arrangements of degree 7

2024/09/08 by Bannai, Shinzo, Tokunaga, Hiro-o, Yorisaki, Emiko · 1 citation
#14H10 #14H30 #14H50 #14J27 #Algebraic Geometry (math.AG) #Combinatorics (math.CO) #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.2409.05011

Abstract

We study the embedded topology of certain conic-line arrangements of degree 7. Two new examples of Zariski pairs are given. Furthermore, we determine the number of connected components of the conic-line arrangements. We also calculate the fundamental groups using SageMath and the package Sirocco in the appendix.

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• Examples of strong Ziegler pairs of conic-line arrangements of degree 7 and 8

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