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math.AG2026
Exotic Hopf maps, weight shifting and applications to vector bundles
Jean Fasel, William Hornslien
Using motivic homotopy theory we produce several explicit polynomial representatives of the suspension of the Hopf map defined over the integers. We derive from this computation an…
math.AG2023
Making the motivic group structure on the endomorphisms of the projective line explicit
Viktor Balch Barth, William Hornslien, Gereon Quick +1
We construct a group structure on the set of pointed naive homotopy classes of scheme morphisms from the Jouanolou device to the projective line. The group operation is defined via…