3 papers
math.AG2025
Grothendieck-Witt theory of derived schemes
Marc Hoyois, Markus Land
We construct a non--invariant motivic ring spectrum over , whose associated cohomology theory on qcqs derived schemes is the…
math.AG2024
Remarks on the motivic sphere without -invariance
Marc Hoyois
We generalize several basic facts about the motivic sphere spectrum in -homotopy theory to the category of non--invariant motivic spectra ov…
math.AG2024
The six operations in equivariant motivic homotopy theory
Marc Hoyois
We introduce and study the homotopy theory of motivic spaces and spectra parametrized by quotient stacks [X/G], where G is a linearly reductive linear algebraic group. We extend to…