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Article Dans Une Revue International Mathematics Research Notices Année : 2023

Geometric Models for Algebraic Suspensions

Résumé

We analyze the question of which motivic homotopy types admit smooth schemes as representatives. We show that given a pointed smooth affine scheme X and an embedding into affine space, the affine deformation space of the embedding gives a model for the P1 suspension of X; we also analyze a host of variations on this observation. Our approach yields many examples of A(1) -(n - 1)-connected smooth affine 2n-folds and strictly quasi-affine A(1)-contractible smooth schemes.

Dates et versions

hal-04379943 , version 1 (08-01-2024)

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Citer

Aravind Asok, Adrien Dubouloz, Paul Arne Østvær. Geometric Models for Algebraic Suspensions. International Mathematics Research Notices, 2023, 2023 (20), pp.17788-17821. ⟨10.1093/imrn/rnad094⟩. ⟨hal-04379943⟩
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