Meng Fai Lim

collaborators

5 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

On even $K$ -groups of rings of integers of real abelian fields

Meng Fai Lim, Chao Qin

We present approaches for calculating the precise orders of the algebraic $K$ -groups $K_{4 n - 2} (O_{K})$ for a totally real abelian $K$ . Along the way, we also establish a fo…

math.NT2025

On even $K$ -groups over $p$ -adic Lie extensions of global function fields

Meng Fai Lim

Let $p$ be a fixed prime number, and $F$ a global function field of characteristic not equal to $p$ . In this paper, we shall study the growth of the Sylow $p$ -subgroups of the even…

math.NT2024

On characteristic elements modulo $p$ in non-commutative Iwasawa theory

Meng Fai Lim, Chao Qin

Coates, Fukaya, Kato, Sujatha and Venjakob come up with a procedure of attaching suitable characteristic element to Selmer groups defined over a non-commutative $p$ -adic Lie extens…

math.NT2024

On pseudo-nullity of fine Mordell-Weil group

Meng Fai Lim, Chao Qin, Jun Wang

Let $E$ be an elliptic curve defined over $Q$ with good ordinary reduction at a prime $p \geq 5$ , and let $F$ be an imaginary quadratic field. Under appropriate assumptions…

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

On even K-groups of rings of integers of real abelian fields

On even K-groups over p-adic Lie extensions of global function fields

On characteristic elements modulo p in non-commutative Iwasawa theory

On pseudo-nullity of fine Mordell-Weil group

On even $K$ -groups of rings of integers of real abelian fields

On even $K$ -groups over $p$ -adic Lie extensions of global function fields

On characteristic elements modulo $p$ in non-commutative Iwasawa theory