S. Mishra

activity

20152026

most citedLocal-global principles for norm one tori over semi-global fields

3 citations · 6 across the 10 of their papers we have counts for

collaborators

12 papers

math.AC2026

On the isotropy group of monomial derivations

Sumit Chandra Mishra, Dibyendu Mondal, Pankaj Shukla

In this article, we characterize the isotropy groups of certain special monomial and Jouanolou-type derivations of polynomial rings over fields of characteristic zero. Under suitab…

math.AC2025

On the Isotropy Groups of Non-Invertible Simple Derivations

Sumit Chandra Mishra, Dibyendu Mondal, Pankaj Shukla

Let $k$ be a field of characteristic zero, and let $i$ and $n$ be positive integers with $i \geq 2$ and $n > i$ . Consider a non-invertible $k$ -derivation $d_{i}$ of the polynomial ring…

math.AC2025

A ruled residue theorem for function fields of hyperelliptic curves

Parul Gupta, Sumit Chandra Mishra

We study residually transcendental extensions of a valuation $v$ on a field $E$ to function fields of hyperelliptic curves over $E$ . We show that $v$ has at most finitely many exte…

math.AC2025

A Class of simple derivations of polynomial ring $k [x_{1}, x_{2}, \dots, x_{n}]$

Sumit Chandra Mishra, Dibyendu Mondal, Pankaj Shukla

Let $k$ be a field of characteristic zero. Let $m$ and $α$ be positive integers. For $n \geq 2$ , let $R_{n} = k [x_{1}, x_{2}, \dots, x_{n}]$ with the $k$ -derivation $d_{n}$ given by $d_n=(1-x_1x_2…

math.GR2023

Products of conjugacy classes in $SL_{2} (k)$ and $PSL_{2} (k)$

Harish Kishnani, Rijubrata Kundu, Sumit Chandra Mishra

Let $k$ be a field with $u$ -invariant $\leq 2$ . Assume further that $k$ is not quadratically closed, $char (k) \neq = 2$ and $∣ k ∣ \geq 5$ . It is known that the covering number o…

math.AC2023★ 1 cited

A ruled residue theorem for function fields of elliptic curves

Karim Johannes Becher, Parul Gupta, Sumit Chandra Mishra

It is shown that a valuation of residue characteristic different from $2$ and $3$ on a field $E$ has at most one extension to the function field of an elliptic curve over $E$ , for…

math.CO2022

Alternating groups as products of cycle classes - II

Harish Kishnani, Rijubrata Kundu, Sumit Chandra Mishra

Given integers $k, l \geq 2$ , where either $l$ is odd or $k$ is even, let $n (k, l)$ denote the largest integer $n$ such that each element of $A_{n}$ is a product of $k$ many $l$ -cycles.…

math.CO2022★ 2 cited

Alternating groups as products of cycle classes

Harish Kishnani, Rijubrata Kundu, Sumit Chandra Mishra

Given integers $k, l \geq 2$ , where either $l$ is odd or $k$ is even, let $n (k, l)$ denote the largest integer $n$ such that each element of $A_{n}$ is a product of $k$ many $l$ -cycles.…

math.AG2022

Local-global principles for multinorm tori over semi-global fields

Sumit Chandra Mishra

Let $K$ be a complete discretely valued field with the residue field $κ$ . Assume that cohomological dimension of $κ$ is less than or equal to $1$ (for example, $κ$ is an algebraica…

math.GR2022

Counterexamples to a conjecture of M. Pellegrini and P. Shumyatsky

Rijubrata Kundu, Sumit Chandra Mishra

In this article, we provide counterexamples to a conjecture of M. Pellegrini and P. Shumyatsky which states that each coset of the centralizer of an involution in a finite non-abel…

math.AG2019★ 3 cited

Local-global principles for norm one tori over semi-global fields

Sumit Chandra Mishra

Let K be a complete discretely valued field with residue field k and F be a function field of a curve over K. Let L/F be a Galois extension of degree n. If n is coprime to char(k),…

cs.DS2015

Improved Solution to the Non-Domination Level Update Problem

Sumit Mishra, Samrat Mondal, Sriparna Saha

Non-domination level update problem is to sort the non-dominated fronts after insertion or deletion of a solution. Generally the solution to this problem requires to perform the co…

On the isotropy group of monomial derivations

On the Isotropy Groups of Non-Invertible Simple Derivations

A ruled residue theorem for function fields of hyperelliptic curves

A Class of simple derivations of polynomial ring k[x1​,x2​,…,xn​]

Products of conjugacy classes in SL2​(k) and PSL2​(k)

A ruled residue theorem for function fields of elliptic curves

Alternating groups as products of cycle classes - II

Alternating groups as products of cycle classes

Local-global principles for multinorm tori over semi-global fields

Counterexamples to a conjecture of M. Pellegrini and P. Shumyatsky

Local-global principles for norm one tori over semi-global fields

Improved Solution to the Non-Domination Level Update Problem

A Class of simple derivations of polynomial ring $k [x_{1}, x_{2}, \dots, x_{n}]$

Products of conjugacy classes in $SL_{2} (k)$ and $PSL_{2} (k)$