2 problems

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Uniqueness conjecture for relative motivic spheres in dimension 2
Uniqueness conjecture for relative motivic spheres. If $X$ is $\mathbb{A}^1$ -homotopic to $\mathbb{A}^2_S\backslash\{0\}$ , then $X$ is isomorphic to $\mathbb{A}^2_S\backslash\{0\}$ …
Conjectureopenaffine-schemes algebraic-geometry motivic-homotopy-theoryarXiv posted 2 days ago
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Bass–Quillen conjecture for vector bundles on affine schemes
Bass–Quillen conjecture. The pullback map
Conjectureopenaffine-schemes algebraic-k-theory vector-bundlesarXiv posted 2 days ago

Uniqueness conjecture for relative motivic spheres in dimension 2