The realization space of a certain conic-line arrangement of degree 7 and a π1-equivalent Zariski pair
Meirav Amram, Shinzo Bannai, Taketo Shirane, Uriel Sinichkin, Hiro‐o Tokunaga · Israel Journal of Mathematics · 2025
Abstract In this paper, we continue the study of the embedded topology of plane algebraic curves. We study the realization space of conic-line arrangements of degree 7 with certain fixed combinatorics and determine the number of connected components. This is done by showing the existence of a Zariski pair having these combinatorics, which we identified as a π 1 -equivalent Zariski pair whose fundamental groups are free abelian with three generators.