Daishi Kiyohara

activity

20222026

collaborators

3 papers

math.NT2026

Formal groups and $(φ, Γ)$ -modules

Daishi Kiyohara

Let $K / E$ be a finite unramified extension of $p$ -adic local fields, and let $H$ be a one-dimensional formal $O_{E}$ -module of finite height over $O_{K}$ . We introd…

math.CO2025

$p$ -anisotropy on the moment curve for homology manifolds and cycles

Karim Adiprasito, Kaiying Hou, Daishi Kiyohara +2

We prove that the Gorensteinification of the face ring of a cycle is totally $p$ -anisotropic in characteristic $p$ . In other words, given an appropriate Artinian reduction, it cont…

math.NT2022

Lattice points on a curve via $ℓ^{2}$ decoupling

Daishi Kiyohara

This paper extends Bombieri and Pila's estimate of lattice points on curves to arbitrary finite sets by incorporating considerations of minimal separation and the doubling constant…

Formal groups and (φ,Γ)-modules

p-anisotropy on the moment curve for homology manifolds and cycles

Lattice points on a curve via ℓ2 decoupling

Formal groups and $(φ, Γ)$ -modules

$p$ -anisotropy on the moment curve for homology manifolds and cycles

Lattice points on a curve via $ℓ^{2}$ decoupling