The realization space of a certain conic line arrangement of degree 7 and a ${\pi }_1$-equivalent Zariski pair

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 ${\pi }_1$-equivalent Zariski pair.

24 pages