4 citations · 15 across the 19 of their papers we have counts for
4 papers · 2 filters
Torsion divisors of plane curves and Zariski pairs
E. Artal Bartolo, S. Bannai, T. Shirane +1
In this paper we study the embedded topology of reducible plane curves having a smooth irreducible component. In previous studies, the relation between the topology and certain tor…
Two-graphs and the embedded topology of smooth quartics and its bitangent lines
Shinzo Bannai, Momoko Yamamoto-Ohno
In this paper, we study the embedded topology of smooth plane quartics and its bitangent lines via two-graphs and apply it to construct interesting examples for Zariski -ple.
Zariski -ples for a smooth cubic and its tangent lines
Shinzo Bannai, Hiro-o Tokunaga
In this paper, we study the geometry of two-torsion points of elliptic curves in order to distinguish the embedded topology of reducible plane curves consisting of a smooth cubic a…
The matroid structure of vectors of the Mordell-Weil lattice and the topology of plane quartics and bitangent lines
Ryutaro Sato, Shinzo Bannai
In this paper, we introduce the terminology of matroids into the study of Zariski-pairs related to rational elliptic surfaces, aiming to simplify the presentation and arguments inv…