Yukako Kezuka

collaborators

3 papers

math.NT2025

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.NT2025

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.NT2024

On central $L$ -values and the growth of the $3$ -part of the Tate-Shafarevich group

Yukako Kezuka

Given any cube-free integer $I^» > 0$ , we study the $3$ -adic valuation of the algebraic part of the central $L$ -value of the elliptic curve $X^{3} + Y^{3} = I^» Z^{3} .$ We give a lower bound in…

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

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

On central L-values and the growth of the 3-part of the Tate-Shafarevich group

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

On central $L$ -values and the growth of the $3$ -part of the Tate-Shafarevich group