Parnashree Ghosh

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20222025

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math.AC2025

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

Parnashree Ghosh

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

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

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