11 citations · 42 across the 23 of their papers we have counts for
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math.AG2020★ 4 cited
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…
math.AG2020★ 1 cited
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…