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math.AG2021
Stable motivic homotopy theory at infinity
Adrien Dubouloz, Frédéric Déglise, Paul Arne Østvær
In this paper, we initiate a study of motivic homotopy theory at infinity. We use the six functor formalism to give an intrinsic definition of the stable motivic homotopy type at i…
math.AG2021
The second stable homotopy groups of motivic spheres
Oliver Röndigs, Markus Spitzweck, Paul Arne Østvær
We compute the 2-line of stable homotopy groups of motivic spheres over fields of characteristic not two in terms of motivic cohomology and hermitian K-groups.