M. Lim

collaborators

6 papers

math.NT2026

On capitulations of even $K$ -groups and pseudo-null submodules in $Z_{p}^{d}$ -extensions

Meng Fai Lim

The capitulations of ideals in $Z_{p}^{d}$ -extensions and pseudo-null submodules of the classical Iwasawa modules are closely related as evidenced in the works of Ozaki and Fu…

math.NT2026

On the structure of fine Mordell-Weil groups over a $Z_{p}$ -extension and its intermediate subextensions

Meng Fai Lim

In this paper, we investigate the structure of the fine Mordell-Weil groups over the intermediate subextensions of a given $Z_{p}$ -extension $F_{\infty}$ of $F$ .

math.NT2026

On Iwasawa theory of abelian varieties over $Z_{p}^{2}$ -extension with applications to Diophantine stability and integally Diophantine extensions

Meng Fai Lim

We present certain results on the Iwasawa theory of an abelian variety with potentially good ordinary reduction at all primes above $p$ . These are then applied to study Diophantine…

math.NT2026

Algebraic functional equation for big Galois representations over multiple $Z_{p}$ -extensions

Zeping Hao, Meng Fai Lim

We present a general approach to establish algebraic functional equations for big Galois representations over multiple $Z_{p}$ -extensions. Our result is formulated in both S…

math.NT2025

Comparing direct limit and inverse limit of even $K$ -groups in non-commutative $p$ -adic Lie extensions

Meng Fai Lim

In a previous paper of the author, we establish a duality for the direct limit and the inverse limit of higher even $K$ -groups over a $Z_{p}^{d}$ -extension. In this paper, we…

math.NT2025

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…

On capitulations of even K-groups and pseudo-null submodules in Zpd​-extensions

On the structure of fine Mordell-Weil groups over a Zp​-extension and its intermediate subextensions

On Iwasawa theory of abelian varieties over Zp2​-extension with applications to Diophantine stability and integally Diophantine extensions

Algebraic functional equation for big Galois representations over multiple Zp​-extensions

Comparing direct limit and inverse limit of even K-groups in non-commutative p-adic Lie extensions

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

On capitulations of even $K$ -groups and pseudo-null submodules in $Z_{p}^{d}$ -extensions

On the structure of fine Mordell-Weil groups over a $Z_{p}$ -extension and its intermediate subextensions

On Iwasawa theory of abelian varieties over $Z_{p}^{2}$ -extension with applications to Diophantine stability and integally Diophantine extensions

Algebraic functional equation for big Galois representations over multiple $Z_{p}$ -extensions

Comparing direct limit and inverse limit of even $K$ -groups in non-commutative $p$ -adic Lie extensions

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