Somnath Jha

activity

20152020

most citedNon-commutative twisted Euler characteristic

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

collaborators

6 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.NT2019

Control theorem and functional equation of Selmer groups over $p$ -adic Lie extensions

Somnath Jha, Tadashi Ochiai

Let us consider a $p$ -adic Lie extension of a number field $K$ which fits into the setting of non-commutative Iwasawa theory formulated by Coates-Fukaya-Kato-Sujatha-Venjakob. For…

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.NT2015

Functional equation for the Selmer group of nearly ordinary Hida deformation of Hilbert modular forms

Somnath Jha, Dipramit Majumdar

We establish a duality result proving the `functional equation' of the characteristic ideal of the Selmer group associated to a nearly ordinary Hilbert modular form over the cyclot…