4 citations · 15 across the 19 of their papers we have counts for
21 papers
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…
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…
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…
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 $…
The realization space of a certain conic line arrangement of degree 7 and a -equivalent Zariski pair
Meirav Amram, Shinzo Bannai, Taketo Shirane +2
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 with certain fixed…
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…