Asok–Østvær's stable \mathbb{A}^1-contractibility conjecture

Let XX be a topologically contractible smooth affine complex variety, and let xx be a chosen closed basepoint. Asok–Østvær's conjecture. The pointed variety (X,x)(X,x) is stably A1\mathbb{A}^1-contractible. This conjecture proposes that topological contractibility detects stable A1\mathbb{A}^1-contractibility for smooth affine complex varieties; the supplied text gives no resolution, so its general status remains open.

Sources & referencesView supporting material

Primary source

Tariq Syed, “Motivic cohomology of cyclic coverings”, arXiv:2307.01487 (2025).

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