Hideki Miyachi

activity

20182022

collaborators

5 papers

math.CV2022

The Teichm{ü}ller-Randers metric

Hideki Miyachi, Ken'Ichi Ohshika, Athanase Papadopoulos

In this paper, we introduce a new asymmetric weak metric on the Teichm{ü}ller space of a closed orientable surface with (possibly empty) punctures.This new metric, which we call th…

math.CV2020

Estimates of the Bergman kernel on Teichmuller space

Guangming Hu, Hideki Miyachi

In this paper, a comparison between the Bergman kernel form and the pushforward measure of the Masur-Veech meaure on the Teichmuller space of genus $g \geq 2$ is obtained.

math.GT2020

Universal commensurability augmented Teichmüller space and moduli space

Guangming Hu, Hideki Miyachi, Yi Qi

It is known that every finitely unbranched covering $α : S_{g (α)} \to S$ of a compact Riemann surface $S$ with genus $g \geq 2$ induces an isometric embedding $Γ_{α}$ …

math.CV2018

Pluripotential theory on Teichmüller space I -- Pluricomplex Green function

Hideki Miyachi

This is the first paper in a series of investigation of the pluripotential theory on Teichmüller space. The main purpose of this paper is to give an alternative approach to the Kru…

math.GT2018

Convergence of Teichmüller deformations in the universal Teichmüller space

Hideki Miyachi, Dragomir Šarić

Let $φ : D \to C$ be an integrable holomorphic function on the unit disk $D$ and $D_{φ} : D \to T (D)$ the Teichmüller disk in the universal Teic…