Shin Hattori

activity

20082026

most citedCanonical subgroups via Breuil-Kisin modules

13 citations · 42 across the 14 of their papers we have counts for

collaborators

14 papers

math.NT2026

On some constancy of Hecke eigensystems for Drinfeld cuspforms of finite slope

Shin Hattori

Let $p$ be a rational prime, let $q > 1$ be a $p$ -power integer, let $F_{q}$ be the field of $q$ elements and let $A = F_{q} [t]$ be the polynomial ring over $\mathbb{F}_q…

math.NT2026

On autoduality of Drinfeld modules and Drinfeld modular forms

Shin Hattori

Let $F_{q}$ be the field of $q$ elements and let $A = F_{q} [t]$ be the polynomial ring over $F_{q}$ . Let $n \in A ∖ F_{q}$ be a monic pol…

math.NT2021

Triviality of the Hecke action on ordinary Drinfeld cuspforms of level $Γ_{1} (t^{n})$

Shin Hattori

Let $k \geq 2$ and $n \geq 1$ be any integers. In this paper, we prove that all Hecke operators act trivially on the space of ordinary Drinfeld cuspforms of level $Γ_{1} (t^{n})$ and weig…

math.NT2019★ 8 cited

$℘$ -adic continuous families of Drinfeld eigenforms of finite slope

Shin Hattori

Let $p$ be a rational prime, $v_{p}$ the normalized $p$ -adic valuation on $Z$ , $q > 1$ a $p$ -power and $A = F_{q} [t]$ . Let $℘ \in A$ be an irreducible polynomial and $\m…

math.NT2018

Dimension variation of Gouvêa-Mazur type for Drinfeld cuspforms of level $Γ_{1} (t)$

Shin Hattori

Let $p$ be a rational prime and $q > 1$ a $p$ -power. Let $S_{k} (Γ_{1} (t))$ be the space of Drinfeld cuspforms of level $Γ_{1} (t)$ and weight $k$ for $F_{q} [t]$ . For any non-negative…

math.NT2017★ 2 cited

Duality of Drinfeld modules and $℘$ -adic properties of Drinfeld modular forms

Shin Hattori

Let $p$ be a rational prime and $q$ a power of $p$ . Let $℘$ be a monic irreducible polynomial of degree $d$ in $F_{q} [t]$ . In this paper, we define an analogue of the Hodg…

On some constancy of Hecke eigensystems for Drinfeld cuspforms of finite slope

On autoduality of Drinfeld modules and Drinfeld modular forms

Triviality of the Hecke action on ordinary Drinfeld cuspforms of level Γ1​(tn)

℘-adic continuous families of Drinfeld eigenforms of finite slope

Dimension variation of Gouvêa-Mazur type for Drinfeld cuspforms of level Γ1​(t)

Duality of Drinfeld modules and ℘-adic properties of Drinfeld modular forms

Triviality of the Hecke action on ordinary Drinfeld cuspforms of level $Γ_{1} (t^{n})$

$℘$ -adic continuous families of Drinfeld eigenforms of finite slope

Dimension variation of Gouvêa-Mazur type for Drinfeld cuspforms of level $Γ_{1} (t)$

Duality of Drinfeld modules and $℘$ -adic properties of Drinfeld modular forms