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math.AG2024
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…
math.AG2024
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…
math.AG2023
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…