K. Vijayalakshmi

collaborators

2 papers

math.AG2026

Relative $A^{1}$ -Contractibility of Smooth Schemes

Adrien Dubouloz, Krishna Kumar Madhavan Vijayalakshmi, Paul Arne ÃstvÃ¦r

We study smooth morphisms $f : X \to S$ that are $A^{1}$ -contractible in the unstable $A^{1}$ -homotopy category $H (S)$ . For base schemes $S$ of finite…

math.AG2026

Relative $A^{1}$ -Contractibility of Smooth Schemes and Exotic Motivic Spheres

Krishna Kumar Madhavan Vijayalakshmi

One of the emerging problems in algebraic geometry is to characterize the affine $n$ -space $A^{n}$ among smooth affine schemes up to $A^{1}$ -contractibility. Recent e…

Relative A1-Contractibility of Smooth Schemes

Relative A1-Contractibility of Smooth Schemes and Exotic Motivic Spheres

Relative $A^{1}$ -Contractibility of Smooth Schemes

Relative $A^{1}$ -Contractibility of Smooth Schemes and Exotic Motivic Spheres