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.
Geometric Models for Algebraic Suspensions / A. Asok, A. Dubouloz, P.A. Oestvaer. - In: INTERNATIONAL MATHEMATICS RESEARCH NOTICES. - ISSN 1073-7928. - 2023:20(2023 Oct 15), pp. 17788-17821. (Intervento presentato al convegno Int. Math. Res. Not. IMRN) [10.1093/imrn/rnad094].
Geometric Models for Algebraic Suspensions
P.A. Oestvaer
Ultimo
2023
Abstract
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.
| File | Dimensione | Formato | |
|---|---|---|---|
|
rnad094.pdf
accesso aperto
Tipologia:
Publisher's version/PDF
Dimensione
620.59 kB
Formato
Adobe PDF
|
620.59 kB | Adobe PDF | Visualizza/Apri |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
