T. Shirane

activity

20122020

collaborators

3 papers

math.AG2020

Torsion divisors of plane curves with maximal flexes and Zariski pairs

E. Artal Bartolo, S. Bannai, T. Shirane +1

There is a close relationship between the embedded topology of complex plane curves and the (group-theoretic) arithmetic of elliptic curves. In a recent paper, we studied the topol…

math.AG2018

Galois covers of graphs and embedded topology of plane curves

Taketo Shirane

The splitting number is effective to distinguish the embedded topology of plane curves, and it is not determined by the fundamental group of the complement of the plane curve. In t…

math.AG2012

A note on normal triple covers over $P^{2}$ with branch divisors of degree 6

Taketo Shirane

Let $S$ and $T$ be reduced divisors on $P^{2}$ which have no common components, and $Δ = S + 2 T .$ We assume $de g Δ = 6.$ Let $π : X \to P^{2}$ be a normal triple cover with b…

Torsion divisors of plane curves with maximal flexes and Zariski pairs

Galois covers of graphs and embedded topology of plane curves

A note on normal triple covers over P2 with branch divisors of degree 6

A note on normal triple covers over $P^{2}$ with branch divisors of degree 6