A. K. Dutta

activity

20132020

most citedA Note on Residual Variables of an Affine Fibration

12 citations · 17 across the 5 of their papers we have counts for

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Showing 2020Show all

3 papers · 1 filter

math.AC2020

On finite generation of Noetherian algebras over two-dimensional regular local rings

Amartya Kumar Dutta, Neena Gupta, Nobuharu Onoda

Let $R$ be a complete regular local ring with an algebraically closed residue field and let $A$ be a Noetherian $R$ -subalgebra of the polynomial ring $R [X]$ . It has been shown in \…

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★ 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…

On finite generation of Noetherian algebras over two-dimensional regular local rings

A Note on Residual Variables of an Affine Fibration

Planes of the form b(X,Y)Zn−a(X,Y) over a DVR

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