Sudhanshu Shekhar

activity

20162020

most citedNon-commutative twisted Euler characteristic

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

collaborators

5 papers

math.NT2020

Twisting lemma for $Λ$ -adic modules

Sohan Ghosh, Somnath Jha, Sudhanshu Shekhar

A classical twisting lemma says that given a finitely generated torsion module $M$ over the Iwasawa algebra $Z_{p} [[Γ]]$ with $Γ ≅ Z_{p}, \exists$ a continuous c…

math.NT2020

Multiplicities in Selmer groups and root numbers for Artin twists

Somnath Jha, Tathagata Mandal, Sudhanshu Shekhar

Let $K / F$ be a finite Galois extension of number fields and $σ$ be an absolutely irreducible, self-dual representation of $Gal (K / F)$ . Let $p$ be an odd prime and consider…

math.NT2018

$p^{r}$ -Selmer companion modular forms

Somnath Jha, Dipramit Majumdar, Sudhanshu Shekhar

The study of $n$ -Selmer group of elliptic curve over number field in recent past has led to the discovery of some deep results in the arithmetic of elliptic curves. Given two ellip…

math.NT2017★ 2 cited

Non-commutative twisted Euler characteristic

Somnath Jha, Sudhanshu Shekhar

It is well known that given a finitely generated torsion module $M$ over the Iwasawa algebra $Z_{p} [[Γ]]$ , where $Γ ≅ Z_{p}$ , there exists a continuous $p$ -adic char…

math.NT2016

Visibility of Shafarevich-Tate group of abelian varieties over number field extensions