activity
20092026
most citedGalois Weierstrass points whose Weierstrass semigroups are generated by two elements

4 citations · 6 across the 8 of their papers we have counts for

collaborators

9 papers

quant-ph2026

Particle-Number-Preserving Quantum Signal Processing for Thermal Properties: Canonical-Ensemble Estimation and Grand-Canonical Reconstruction

Taehee Ko, Sungbin Lim, Sangkook Choi

We develop an end-to-end framework for estimating canonical thermal properties of particle-number-conserving second-quantized Hamiltonians using quantum simulations. The framework…

math.AG2026

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…

math.AG2026

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…

math.AG2023

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…

math.AG2022

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…

math.AG2019

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…

math.AG2017★ 4 cited

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.

math.AG2015★ 1 cited

Quasi-Galois points

Satoru Fukasawa, Kei Miura, Takeshi Takahashi

We introduce the new notion of the "quasi-Galois point" in Algebraic geometry, which is a generalization of the Galois point. A point in projective plane is said to be quasi-Ga…

math.AG2009★ 1 cited

Galois points for a normal hypersurface

Satoru Fukasawa, Takeshi Takahashi

We study Galois points for a hypersurface with . The purpose of this article is to determine the set of Galois points in characteristic…