M. Lim

activity

20112026

most citedNotes on the fine Selmer groups

19 citations · 158 across the 40 of their papers we have counts for

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Showing 2021 · math.NTShow all

5 papers · 2 filters

math.NT2021★ 2 cited

Structure of fine Selmer groups over $Z_{p}$ -extensions

Meng Fai Lim

This paper is concerned with the study of the fine Selmer group of an abelian variety over a $Z_{p}$ -extension which is not necessarily cyclotomic. It has been conjectured t…

math.NT2021

Norm principle for even K-groups of number fields

Meng Fai Lim

We investigate the norm maps of algebraic even $K$ -groups of finite extensions of number fields. Namely, we show that they are surjective in most situations. In the event that they…

math.NT2021

On order of vanishing of characteristic elements

Meng Fai Lim

Let $p$ be a fixed odd prime. Let $E$ be an elliptic curve defined over a number field with either good ordinary reduction or multiplicative reduction at each prime of $F$ above $p…

math.NT2021★ 4 cited

On fine Selmer groups and signed Selmer groups of elliptic modular forms

Antonio Lei, Meng Fai Lim

Let $f$ be an elliptic modular form and $p$ an odd prime that is coprime to the level of $f$ . We study the link between divisors of the characteristic ideal of the $p$ -primary fine…

math.NT2021★ 3 cited

On the codescent of étale wild kernels in $p$ -adic Lie extensions

Meng Fai Lim

Let $F$ be a number field and $p$ an odd prime. We estimate the kernels and cokernels of the codescent maps of the étale wild kernels over various $p$ -adic Lie extensions. For this…

Structure of fine Selmer groups over Zp​-extensions

Norm principle for even K-groups of number fields

On order of vanishing of characteristic elements

On fine Selmer groups and signed Selmer groups of elliptic modular forms

On the codescent of étale wild kernels in p-adic Lie extensions

Structure of fine Selmer groups over $Z_{p}$ -extensions

On the codescent of étale wild kernels in $p$ -adic Lie extensions