2 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
Atiyah duality for motivic spectra
Toni Annala, Marc Hoyois, Ryomei Iwasa
We prove that Atiyah duality holds in the -category of non--invariant motivic spectra over arbitrary derived schemes: every smooth projective scheme is dualiza…