Yoshiyasu Ozeki

collaborators

3 papers

math.NT2026

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 $Q_{p} (I^¼_{p^{n}})$ -rational points of ellip…

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

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…

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

Kummer-faithfulness over p-adic fields

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

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

Kummer-faithfulness over $p$ -adic fields