M. Lim

activity

20182020

collaborators

6 papers

math.NT2020

On the control theorem for fine Selmer groups and the growth of fine Tate-Shafarevich groups in $Z_{p}$ -extensions

Meng Fai Lim

Let $A$ be an abelian variety defined over a number field $F$ . We prove a control theorem for the fine Selmer group of the abelian variety $A$ which essentially says that the kerne…

math.NT2019

On the algebraic functional equation of the eigenspaces of mixed signed Selmer groups of elliptic curves with good reduction at primes above $p$

Suman Ahmed, Meng Fai Lim

Let $p$ be an odd prime number, and let $E$ be an elliptic curve defined over a number field which has good reduction at every prime above $p$ . Under suitable assumptions, we prove…

math.NT2019

On the signed Selmer groups of congruent elliptic curves with semistable reduction at all primes above $p$

Suman Ahmed, Meng Fai Lim

Let $p$ be an odd prime. We attach appropriate signed Selmer groups to an elliptic curve $E$ , where $E$ is assumed to have semistable reduction at all primes above $p$ . We then com…

math.NT2019

On the Euler characteristics of signed Selmer groups

Suman Ahmed, Meng Fai Lim

Let $p$ be an odd prime number, and $E$ an elliptic curve defined over a number field with good reduction at every prime of $F$ above $p$ . In this short note, we compute the Euler…

math.NT2018

A note on asymptotic class number upper bounds in $p$ -adic Lie extensions

Meng Fai Lim

Let $p$ be an odd prime and $F_{\infty}$ a $p$ -adic Lie extension of a number field $F$ with Galois group $G$ . Suppose that $G$ is a compact pro- $p$ $p$ -adic Lie group with no tors…

math.NT2018

On the Iwasawa asymptotic class number formula for $Z_{p}^{r} ⋊ Z_{p}$ -extensions

Dingli Liang, Meng Fai Lim

Let $p$ be an odd prime and $F_{\infty, \infty}$ a $p$ -adic Lie extension of a number field $F$ with Galois group isomorphic to $Z_{p}^{r} ⋊ Z_{p}$ , $r \geq 1$ . Under…

On the control theorem for fine Selmer groups and the growth of fine Tate-Shafarevich groups in Zp​-extensions

On the algebraic functional equation of the eigenspaces of mixed signed Selmer groups of elliptic curves with good reduction at primes above p

On the signed Selmer groups of congruent elliptic curves with semistable reduction at all primes above p

On the Euler characteristics of signed Selmer groups

A note on asymptotic class number upper bounds in p-adic Lie extensions

On the Iwasawa asymptotic class number formula for Zpr​⋊Zp​-extensions

On the control theorem for fine Selmer groups and the growth of fine Tate-Shafarevich groups in $Z_{p}$ -extensions

On the algebraic functional equation of the eigenspaces of mixed signed Selmer groups of elliptic curves with good reduction at primes above $p$

On the signed Selmer groups of congruent elliptic curves with semistable reduction at all primes above $p$

A note on asymptotic class number upper bounds in $p$ -adic Lie extensions

On the Iwasawa asymptotic class number formula for $Z_{p}^{r} ⋊ Z_{p}$ -extensions