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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…