Yukako Kezuka

activity

20192024

collaborators

3 papers

math.NT2024

Non-commutative Iwasawa theory of abelian varieties over global function fields

Li-Tong Deng, Yukako Kezuka, Yong-Xiong Li +1

Let $A$ be an abelian variety defined over a global function field $F$ , and let $p$ be a prime distinct from the characteristic of $F$ . Let $F_{\infty}$ be a $p$ -adic Lie extension o…

math.NT2023

Non-vanishing of central $L$ -values of the Gross family of elliptic curve

Yukako Kezuka, Yong-Xiong Li

We prove non-vanishing theorems for the central values of $L$ -series of quadratic twists of the Gross elliptic curve with complex multiplication by the imaginary quadratic field $\…

math.NT2019

A classical family of elliptic curves having rank one and the $2$ -primary part of their Tate-Shafarevich group non-trivial

Yukako Kezuka, Yongxiong Li

We study elliptic curves of the form $x^{3} + y^{3} = 2 p$ and $x^{3} + y^{3} = 2 p^{2}$ where $p$ is any odd prime satisfying $p \equiv 2 mod 9$ or $p \equiv 5 mod 9$ . We first show that the $3$ -part…

Non-commutative Iwasawa theory of abelian varieties over global function fields

Non-vanishing of central L-values of the Gross family of elliptic curve

A classical family of elliptic curves having rank one and the 2-primary part of their Tate-Shafarevich group non-trivial

Non-vanishing of central $L$ -values of the Gross family of elliptic curve

A classical family of elliptic curves having rank one and the $2$ -primary part of their Tate-Shafarevich group non-trivial