3 papers
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…
math.AG2023
Poncelet's closure theorem and the embedded topology of conic-line arrangements
Shinzo Bannai, Ryosuke Masuya, Taketo Shirane +2
In this paper, we consider conic-line arrangements that arise from Poncelet's closure theorem. We study unramified double covers of the union of two conics, that are induced by a $…
math.AG2023
Ramified and Split models of elliptic surfaces and bitangent lines of quartic curves
Shinzo Bannai, Hiro-o Tokunaga, Emiko Yorisaki
We define ramified and split models of elliptic surfaces and study the relation between the two models. We focus on certain rational elliptic surfaces from these points of views an…