Parnashree Ghosh

collaborators

3 papers

math.AC2026

On $A^{1}$ -contractibility of certain simple birational extensions of affine spaces

Parnashree Ghosh

Over a field of characteristic zero, up to isomorphism of varieties, affine spaces are the only smooth $A^{1}$ -contractible affine varieties in dimensions $⩽ 2$ . How…

math.AC2025

On characterization of Double Danielewski type algebras

Parnashree Ghosh, Dibyendu Mondal

Let $k$ be a field. In this paper, we consider Double Danielewski type algebras over an affine factorial $k$ -domain $R$ . We observe that this family produces a non-cancellative fam…

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…

On A1-contractibility of certain simple birational extensions of affine spaces

On characterization of Double Danielewski type algebras

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

On $A^{1}$ -contractibility of certain simple birational extensions of affine spaces

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