133 citations · 504 across the 25 of their papers we have counts for
4 papers · 1 filter
Motivic infinite loop spaces
Elden Elmanto, Marc Hoyois, Adeel A. Khan +2
We prove a recognition principle for motivic infinite P1-loop spaces over a perfect field. This is achieved by developing a theory of framed motivic spaces, which is a motivic anal…
Norms in motivic homotopy theory
Tom Bachmann, Marc Hoyois
If is a finite locally free morphism of schemes, we construct a symmetric monoidal "norm" functor , where $\mathcal H_*…
Vanishing theorems for the negative K-theory of stacks
Marc Hoyois, Amalendu Krishna
We prove that the homotopy algebraic K-theory of tame quasi-DM stacks satisfies cdh-descent. We apply this descent result to prove that if X is a Noetherian tame quasi-DM stack and…
Generically split octonion algebras and A^1-homotopy theory
Aravind Asok, Marc Hoyois, Matthias Wendt
We study generically split octonion algebras over schemes using techniques of -homotopy theory. By combining affine representability results with techniques of obstr…