Yoshiyasu Ozeki

activity

20082026

most citedLattices in crystalline representations and Kisin modules associated with iterate extensions

2 citations · 4 across the 19 of their papers we have counts for

collaborators

19 papers

math.NT2026

Fields of definition of $p$ -torsion points of elliptic curves and their ramification

Yoshiyasu Ozeki, Manabu Yoshida

Let $E$ be an elliptic curve over $Q_{p}$ . We study the field $Q_{p} (E [p])$ generated by the $p$ -torsion points of $E$ . When $E$ has good reduction, we determine not…

math.NT2025

Kummer-faithfulness over $p$ -adic fields

Yoshiyasu Ozeki

The notion of a Kummer-faithful field, defined by Mochizuki, is expected as one of suitable base fields for anabelian geometry. In this paper, we study Kummer-faithfulness for alge…

math.NT2025

Torsion of elliptic curves over $Q_{p}$ with good reduction in cyclotomic extensions

Yoshiyasu Ozeki, Manabu Yoshida

In this paper, for every prime $p$ and every $0 \leq n \leq \infty$ , we classify the structure of the torsion subgroup of the group of $Q_{p} (μ_{p^{n}})$ -rational points of ellipt…

math.NT2025

Some Kummer extensions over maximal cyclotomic fields, a finiteness theorem of Ribet and TKND-AVKF fields

Takahiro Murotani, Yoshiyasu Ozeki

It is a theorem of Ribet that an abelian variety defined over a number field $K$ has only finitely many torsion points with values in the maximal cyclotomic extension field $K^{\ma…

math.NT2023

Explicit bounds on torsion of CM abelian varieties over $p$ -adic fields with values in Lubin-Tate extensions

Yoshiyasu Ozeki

Let $K$ and $k$ be $p$ -adic fields. Let $L$ be the composite field of $K$ and a certain Lubin-Tate extension over $k$ (including the case where $L = K (μ_{p^{\infty}})$ ). In this pape…

math.NT2022

Bounds on torsion of CM abelian varieties over a $p$ -adic field with values in a field of $p$ -power roots

Yoshiyasu Ozeki

Let $p$ be a prime number and $M$ the extension field of a $p$ -adic field $K$ obtained by adjoining all $p$ -power roots of all elements of $K$ . In this paper, we show that there ex…

Fields of definition of p-torsion points of elliptic curves and their ramification

Kummer-faithfulness over p-adic fields

Torsion of elliptic curves over Qp​ with good reduction in cyclotomic extensions

Some Kummer extensions over maximal cyclotomic fields, a finiteness theorem of Ribet and TKND-AVKF fields

Explicit bounds on torsion of CM abelian varieties over p-adic fields with values in Lubin-Tate extensions

Bounds on torsion of CM abelian varieties over a p-adic field with values in a field of p-power roots

Fields of definition of $p$ -torsion points of elliptic curves and their ramification

Kummer-faithfulness over $p$ -adic fields

Torsion of elliptic curves over $Q_{p}$ with good reduction in cyclotomic extensions

Explicit bounds on torsion of CM abelian varieties over $p$ -adic fields with values in Lubin-Tate extensions

Bounds on torsion of CM abelian varieties over a $p$ -adic field with values in a field of $p$ -power roots