Jiro Sekiguchi

collaborators

3 papers

math.AC2026

Flat coordinates of Frobenius prepotentials related with the reflection groups of types $H_{3}$ and $H_{4}$

Rei Aradachi, Hiromasa Nakayama, Jiro Sekiguchi

In this article, we first explain a group theoretic interpretation of the derivation of the relation between the flat coordinates of the polynomial prepotential $(H_{3})$ and those o…

math.AG2023

The Construction Problem of Algebraic Potentials and Reflection Groups

Jiro Sekiguchi

This paper has two aims. The first one is the construction problem of algebraic potentials of Frobenius manifolds. We show examples of such potentials for the cases of reflection g…

math.AG2023

Simple singularity of type $E_{7}$ and the complex reflection group ST34

Jiro Sekiguchi

This paper studies a family of surfaces of $C^{3}$ which is a deformation of a simple singularity of type $E_{7}$ . This family has six parameters which are regarded as basic inva…

Flat coordinates of Frobenius prepotentials related with the reflection groups of types H3​ and H4​

The Construction Problem of Algebraic Potentials and Reflection Groups

Simple singularity of type E7​ and the complex reflection group ST34

Flat coordinates of Frobenius prepotentials related with the reflection groups of types $H_{3}$ and $H_{4}$

Simple singularity of type $E_{7}$ and the complex reflection group ST34