A^1-contractibility of smooth morphisms is a fiberwise property, yielding local triviality criteria for A^n-fiber spaces and rigidity in relative dimensions 1 and 2.
RelativeA 1-contractibility of Koras-Russell prototypes and exotic motivic spheres.Preprint, arXiv:2510.21594
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Relative $\mathbb{A}^1$-Contractibility of Smooth Schemes
A^1-contractibility of smooth morphisms is a fiberwise property, yielding local triviality criteria for A^n-fiber spaces and rigidity in relative dimensions 1 and 2.