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.AG2024
Zariski pairs of conic-line arrangements with a unique conic
Shinzo Bannai, Benoît Guerville-Ballé, Taketo Shirane
In this note, we present two pairs of conic-line arrangements admitting a unique conic and that form Zariski pairs, both of degree . Their topologies are distinguished using 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…