4 citations · 4 across the 5 of their papers we have counts for
6 papers
A note on SG points for reduced plane curves
Aki Ikeda, Takeshi Takahashi
In our previous work, we generalized the concept of Galois points for irreducible plane curves to the case of reduced plane curves. We also introduced the concept of simultaneous G…
Galois lines for a canonical curve of genus 4, III: non-cyclic Galois lines
Shotaro Kato, Jiryo Komeda, Takeshi Takahashi
Let be a canonical curve of genus over an algebraically closed field of characteristic zero. For a line , we consider the p…
Simultaneous Galois points for a reducible plane curve consisting of nonsingular components
Aki Ikeda, Takeshi Takahashi
Yoshihara's definition of Galois points for irreducible plane curves is extended to reducible plane curves. We also define simultaneous Galois points, weakening the conditions of t…
Quasi-Galois points, II: Arrangements
Satoru Fukasawa, Kei Miura, Takeshi Takahashi
In Part I, the present authors introduced the notion of a quasi-Galois point, for investigating the automorphism groups of plane curves. In this second part, the number of quasi-Ga…
Algebraic curves admitting the same Galois closure for two projections
Satoru Fukasawa, Kazuki Higashine, Takeshi Takahashi
A criterion for the existence of a plane model of an algebraic curve such that the Galois closures of projections from two points are the same is presented. As an application, it i…
Galois Weierstrass points whose Weierstrass semigroups are generated by two elements
Jiryo Komeda, Takeshi Takahashi
We investigate the number of Galois Weierstrass points whose Weierstrass semigroups are generated by two positive integers.