11 citations · 42 across the 23 of their papers we have counts for
3 papers · 1 filter
The trivial fiber topology and framed motives over the integers
A. Druzhinin, Håkon Kolderup, Paul Arne Østvær
This paper introduces the trivial fiber topology on schemes. For one-dimensional base schemes, we use it to describe fibrant replacements in the stable motivic homotopy category an…
Triangulated categories of logarithmic motives over a field
Federico Binda, Doosung Park, Paul Arne Østvær
In this work we develop a theory of motives for logarithmic schemes over fields in the sense of Fontaine, Illusie, and Kato. Our construction is based on the notion of finite log c…
On étale motivic spectra and Voevodsky's convergence conjecture
Tom Bachmann, Elden Elmanto, Paul Arne Østvær
We prove a new convergence result for the slice spectral sequence, following work by Levine and Voevodsky. This verifies a derived variant of Voevodsky's conjecture on convergence…