P. Das

activity

20132022

most citedA Note on Residual Variables of an Affine Fibration

12 citations · 20 across the 8 of their papers we have counts for

collaborators

8 papers

math.AC2022

Locally nilpotent derivations on $A^{2}$ -fibrations with $A^{1}$ -fibration kernels

Janaki Raman Babu, Prosenjit Das, Animesh Lahiri

In this paper, we give a characterization of locally nilpotent derivations on $A^{2}$ -fibrations over Noetherian domains containing $Q$ having kernel isomorphic to…

math.AC2022

A criterion to determine residual coordinates of $A^{2}$ -fibrations

Janaki Raman Babu, Prosenjit Das

This article discusses a criterion to determine residual variables of an $A^{2}$ -fibration over a Noetherian domain containing $Q$ .

math.AC2020★ 4 cited

On cancellation of variables of the form $b T^{n} - a$ over affine normal domains

Prosenjit Das

In this article we extend a cancellation theorem of D. Wright to the case of affine normal domains. We shall show that if $A$ is an algebra over a Noetherian normal domain $R$ cont…

math.AC2020★ 12 cited

A Note on Residual Variables of an Affine Fibration

Prosenjit Das, Amartya K. Dutta

In a recent paper [El 13], M.E. Kahoui has shown that if $R$ is a polynomial ring over $C$ , $A$ an $A^{3}$ -fibration over $R$ , and $W$ a residual variable of $A$ th…

math.AC2020★ 1 cited

A note on factorial $A^{1}$ -forms with retractions

Prosenjit Das

Let $k$ be a field. In this paper we will show that any factorial $A^{1}$ -form $A$ over any $k$ -algebra $R$ is trivial, if $A$ has a retraction to $R$ .

math.AC2020★ 3 cited

Planes of the form $b (X, Y) Z^{n} - a (X, Y)$ over a DVR

Prosenjit Das, Amartya K. Dutta

In this paper we extend an epimorphism theorem of D. Wright to the case of discrete valuation rings. We will show that if $(R, t)$ is a discrete valuation ring, $n \geq 2$ is an int…

Locally nilpotent derivations on A2-fibrations with A1-fibration kernels

A criterion to determine residual coordinates of A2-fibrations

On cancellation of variables of the form bTn−a over affine normal domains