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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.AC2024
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…
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…