2 citations · 2 across the 2 of their papers we have counts for
5 papers
On finite generation of Noetherian algebras over two-dimensional regular local rings
Amartya Kumar Dutta, Neena Gupta, Nobuharu Onoda
Let be a complete regular local ring with an algebraically closed residue field and let be a Noetherian -subalgebra of the polynomial ring . It has been shown in \…
Some results on retracts of polynomial rings
Sagnik Chakraborty, Nikhilesh Dasgupta, Amartya Kumar Dutta +1
In this paper, we first consider the relationship between a polynomial ring over a Noetherian domain and the ring of invariants of a -action on , when…
On Double Danielewski Surfaces and the Cancellation Problem
Neena Gupta, Sourav Sen
We study a two-dimensional family of affine surfaces which are counter-examples to the Cancellation Problem. We describe the Makar-Limanov invariant of these surfaces, determine th…
On Separable $\A^2$ and $\A^3$-forms
Amartya Kumar Dutta, Neena Gupta, Animesh Lahiri
In this paper, we will prove that any $\A^3$-form over a field of characteristic zero is trivial provided it has a locally nilpotent derivation satisfying certain properties. W…
A Counter-example to the Cancellation Problem for the Affine Space A^3 in characteristic p
Neena Gupta
We show that the Cancellation Conjecture does not hold for the affine space A^3_k over any field k of positive characteristic. We prove that an example of T. Asanuma provides a thr…