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math.AG2022★ 8 cited
The Zariski Cancellation Problem and related problems in Affine Algebraic Geometry
Neena Gupta
In this article, we shall discuss the solution to the Zariski Cancellation Problem in positive characteristic, various approaches taken so far towards the possible solution in char…
math.AC2022
On Generalised Danielewski and Asanuma varieties
Parnashree Ghosh, Neena Gupta
In this paper we extend a result of Dubouloz on the Cancellation Problem in higher dimensions () over the field of complex numbers to fields of arbitrary characteristi…
math.AC2022
On the triviality of a family of linear hyperplanes
Parnashree Ghosh, Neena Gupta
Let be a field, a positive integer, an affine subvariety of defined by a linear relation of the form $x_{1}^{r_{1}}\cdots x_{m}^{r_{m}}y=F(x…