2 citations · 6 across the 7 of their papers we have counts for
8 papers
Non-commutative Iwasawa theory of abelian varieties over global function fields
Li-Tong Deng, Yukako Kezuka, Yong-Xiong Li +1
Let be an abelian variety defined over a global function field , and let be a prime distinct from the characteristic of . Let be a -adic Lie extension o…
Non-vanishing of central -values of the Gross family of elliptic curve
Yukako Kezuka, Yong-Xiong Li
We prove non-vanishing theorems for the central values of -series of quadratic twists of the Gross elliptic curve with complex multiplication by the imaginary quadratic field $\…
On central -values and the growth of the -part of the Tate-Shafarevich group
Yukako Kezuka
Given any cube-free integer , we study the -adic valuation of the algebraic part of the central -value of the elliptic curve We give a lower bound in t…
Tamagawa number divisibility of central -values of twists of the Fermat elliptic curve
Yukako Kezuka
Given any integer prime to , we denote by the elliptic curve . We first study the -adic valuation of the algebraic part of the value of the Hasse-Weil…
A classical family of elliptic curves having rank one and the -primary part of their Tate-Shafarevich group non-trivial
Yukako Kezuka, Yongxiong Li
We study elliptic curves of the form and where is any odd prime satisfying or . We first show that the -part…
On the main conjecture of Iwasawa theory for certain non-cyclotomic -extensions
Yukako Kezuka
Let , where is any prime number congruent to modulo , with ring of integers and Hilbert class field . Suppose is…
Analogues of Iwasawa's conjecture and the weak Leopoldt conjecture for a non-cyclotomic -extension
Junhwa Choi, Yukako Kezuka, Yongxiong Li
Let , where is any prime number congruent to modulo , and let be the ring of integers of . The prime splits in , say $…
On the -part of the Birch-Swinnerton-Dyer conjecture for elliptic curves with complex multiplication by the ring of integers of
Yukako Kezuka
We study infinite families of quadratic and cubic twists of the elliptic curve . For the family of quadratic twists, we establish a lower bound for the -adic valuat…