Mabud Ali Sarkar

activity

20242026

collaborators

4 papers

math.NT2026

On the Image of the $p$ -adic Logarithm on Annuli of Principal Units

Mabud Ali Sarkar

Let $K$ be a finite extension of $Q_{p}$ , and let $m_{K}$ be its maximal ideal. The image of the group of principal units $1 + m_{K}$ under $p$ -adic logarith…

math.NT2025

Unlikely intersection in higher-dimensional formal groups

Ramla Abdellatif, Mabud Ali Sarkar, Absos Ali Shaikh

In this article, we identify a class of higher-dimensional formal groups over the ring of $p$ -adic integers that are uniquely determined by their $p$ -power torsion points. More pre…

math.NT2024

Properties of Breuil-Kisin modules inherited by $p$ -divisible groups

Mabud Ali Sarkar, Absos Ali Shaikh

In this paper, by assuming a faithful action of a finite flat $Z_{p}$ -algebra $R$ on a $p$ -divisible group $G$ defined over the ring of $p$ -adic integers…

math.NT2024

Constructing $2$ -dimensional Lubin-Tate formal groups over $Z_{p}$ (I)

Ramla Abdellatif, Mabud Ali Sarkar

In this paper, we construct a class of $2$ -dimensional formal groups over $Z_{p}$ that provide a higher-dimensional analogue of the usual $1$ -dimensional Lubin-Tate formal g…

On the Image of the p-adic Logarithm on Annuli of Principal Units

Unlikely intersection in higher-dimensional formal groups

Properties of Breuil-Kisin modules inherited by p-divisible groups

Constructing 2-dimensional Lubin-Tate formal groups over Zp​ (I)

On the Image of the $p$ -adic Logarithm on Annuli of Principal Units

Properties of Breuil-Kisin modules inherited by $p$ -divisible groups

Constructing $2$ -dimensional Lubin-Tate formal groups over $Z_{p}$ (I)