M. Lim

activity

20152025

most citedOn fine Mordell-Weil groups over

Z_{p}

-extensions of an imaginary quadratic field

2 citations · 3 across the 9 of their papers we have counts for

collaborators

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9 papers · 1 filter

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.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…

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

On the $p$ -divisibility of even $K$ -groups of the ring of integers of a cyclotomic field

Meng Fai Lim

Let $k$ be a given positive odd integer and $p$ an odd prime. In this paper, we shall give a sufficient condition when a prime $p$ divides the order of the groups $K_{2k}(\mathbb{Z…

math.NT2023★ 2 cited

On fine Mordell-Weil groups over $Z_{p}$ -extensions of an imaginary quadratic field

Meng Fai Lim

Let $E$ be an elliptic curve over $Q$ . Greenberg has posed a question whether the structure of the fine Selmer group over the cyclotomic $Z_{p}$ -extension of $\math…

math.NT2020

On the weak Leopoldt conjecture and coranks of Selmer groups of supersingular abelian varieties in $p$ -adic Lie extensions

Meng Fai Lim

Let $A$ be an abelian variety defined over a number field $F$ with supersingular reduction at all primes of $F$ above $p$ . We establish an equivalence between the weak Leopoldt con…

math.NT2016

On the vanishing of $S K_{1}$ of certain Iwasawa algebras

Meng Fai Lim

We prove the vanishing of $SK_1(\Zp\ps{G})$ when $G$ is either $\Zp^n\rtimes\Zp$ or a Heisenberg pro- $p$ group.

math.NT2015★ 1 cited

Akashi series, characteristic elements and congruence of Galois representations

Meng Fai Lim

In this paper, we compare the Akashi series of the Pontryagin dual of the Selmer groups of two Galois representations over a strongly admissible p-adic Lie extension. Namely, we sh…

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

On characteristic elements modulo p in non-commutative Iwasawa theory

On pseudo-nullity of fine Mordell-Weil group

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

On the p-divisibility of even K-groups of the ring of integers of a cyclotomic field

On fine Mordell-Weil groups over Zp​-extensions of an imaginary quadratic field

On the weak Leopoldt conjecture and coranks of Selmer groups of supersingular abelian varieties in p-adic Lie extensions

On the vanishing of SK1​ of certain Iwasawa algebras

Akashi series, characteristic elements and congruence of Galois representations

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

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

On the $p$ -divisibility of even $K$ -groups of the ring of integers of a cyclotomic field

On fine Mordell-Weil groups over $Z_{p}$ -extensions of an imaginary quadratic field

On the weak Leopoldt conjecture and coranks of Selmer groups of supersingular abelian varieties in $p$ -adic Lie extensions

On the vanishing of $S K_{1}$ of certain Iwasawa algebras