Rei Otsuki

activity

20162021

most citedOn the plus and the minus Selmer groups for elliptic curves at supersingular primes

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

collaborators

3 papers

math.NT2021

On the Cyclicity of the Unramified Iwasawa Modules of the Maximal Multiple $Z_{p}$ -Extensions Over Imaginary Quadratic Fields

Takashi Miura, Kazuaki Murakami, Keiji Okano +1

For an odd prime number $p$ , we study the number of generators of the unramified Iwasawa modules of the maximal multiple $Z_{p}$ -extensions over Iwasawa algebra. In a previo…

math.NT2019

Galois coinvariants of the unramified Iwasawa modules of multiple $Z_{p}$ -extensions

Takashi Miura, Kazuaki Murakami, Rei Otsuki +1

For a CM-field $K$ and an odd prime number $p$ , let $K^{'}$ be a certain multiple $Z_{p}$ -extension of $K$ . In this paper, we study several basic properties of the u…

math.NT2016★ 2 cited

On the plus and the minus Selmer groups for elliptic curves at supersingular primes

Takahiro Kitajima, Rei Otsuki

Let $p$ be an odd prime number, $E$ an elliptic curve defined over a number field. Suppose that $E$ has good reduction at any prime lying above $p$ , and has supersingular reduction…

On the Cyclicity of the Unramified Iwasawa Modules of the Maximal Multiple Zp​-Extensions Over Imaginary Quadratic Fields

Galois coinvariants of the unramified Iwasawa modules of multiple Zp​-extensions

On the plus and the minus Selmer groups for elliptic curves at supersingular primes

On the Cyclicity of the Unramified Iwasawa Modules of the Maximal Multiple $Z_{p}$ -Extensions Over Imaginary Quadratic Fields

Galois coinvariants of the unramified Iwasawa modules of multiple $Z_{p}$ -extensions