5 papers
A note on double Danielewski surfaces
Neena Gupta, Sourav Sen
In this note we rectify the proof of Theorem 3.11 in [arXiv:2403.02876]. We also present a set of examples at the end discussing various cases.
On embedding of linear hypersurfaces
Parnashree Ghosh, Neena Gupta, Ananya Pal
Linear hypersurfaces over a field have been playing a central role in the study of some of the challenging problems on affine spaces. Breakthroughs on such problems have occurr…
On the family of affine threefolds
Parnashree Ghosh, Neena Gupta, Ananya Pal
In recent decades, linear affine threefolds have enabled researchers to solve some of the challenging problems on affine spaces. Koras-Russell threefolds, especially the Russell Cu…
On rigidity of Pham-Brieskorn surfaces
Neena Gupta, Ananya Pal
It is well known that, over an algebraically closed field of characteristic zero, for any three integers , any Pham-Brieskorn surface $B_{(a,b,c)}:= k[X,Y,Z]/(X^a…
Retracts of Laurent polynomial rings
Neena Gupta, Takanori Nagamine
Let be an integral domain and be the polynomial ring. In this paper, we consider retracts of for a monomial . We show that (1) if $M=\prod_{i=…