5 papers
Regular Borel subalgebras of the Lie Algebra of Aut()
Ananya Pal
In this paper, we find all regular Borel subalgebras of Lie(Aut()), i.e., maximal solvable subalgebras generated by homogeneous derivations with respect to the standa…
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 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 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…
A new family of counterexamples to the Zariski Cancellation Problem in positive characteristic
Parnashree Ghosh, Ananya Pal
In this paper, over a field of positive characteristic we exhibit an infinite family of counter examples to the Zariski Cancellation Problem in higher dimensions () wh…