3 papers
math.AG2025
Examples of strong Ziegler pairs of conic-line arrangements of degree 7 and 8
Shinzo Bannai, Hiro-o Tokunaga
A pair of plane curves with the same combinatorics is said to be (a) a Zariski pair if the plane curves have different embedded topology, and (b) a strong Ziegler pair if their Mil…
math.AG2025
Zariski pairs of conic-line arrangements of degrees 7 and 8 via fundamental groups
Meirav Amram, Robert Shwartz, Uriel Sinichkin +2
We find a new Zariski pair with non-isomorphic fundamental groups that consists of degree conic-line arrangements. Each arrangement has three conics and two lines. We use the…
math.AG2024
The realization spaces of certain conic-line arrangements of degree 7
Shinzo Bannai, Hiro-o Tokunaga, Emiko Yorisaki
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 compon…