Parnashree Ghosh

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20242026

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math.AG2025

Algebraic families of higher dimensional $A^{1}$ -contractible affine varieties non-isomorphic to affine spaces

Adrien Dubouloz, Parnashree Ghosh

We construct algebraic families of smooth affine $A^{1}$ -contractible varieties of every dimension $n \geq 4$ over fields of characteristic zero which are non-isomorphic to a…

math.AG2024

On the family of affine threefolds $a (x) y = F (x, z, t)$

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.AG2024

On embedding of linear hypersurfaces

Parnashree Ghosh, Neena Gupta, Ananya Pal

Linear hypersurfaces over a field $k$ have been playing a central role in the study of some of the challenging problems on affine spaces. Breakthroughs on such problems have occurr…

Algebraic families of higher dimensional A1-contractible affine varieties non-isomorphic to affine spaces

On the family of affine threefolds a(x)y=F(x,z,t)

On embedding of linear hypersurfaces

Algebraic families of higher dimensional $A^{1}$ -contractible affine varieties non-isomorphic to affine spaces

On the family of affine threefolds $a (x) y = F (x, z, t)$