20 citations · 62 across the 13 of their papers we have counts for
5 papers · 1 filter
On the effectivity of spectra representing motivic cohomology theories
Tom Bachmann, Jean Fasel
Let k be an infinite perfect field. We provide a general criterion for a spectrum in the stable homotopy category over k to be effective, i.e. to be in the localizing subcategory g…
The Milnor-Witt motivic ring spectrum and its associated theories
Frédéric Déglise, Jean Fasel
We build a ring spectrum representing Milnor-Witt motivic cohomology, as well as its étale local version and show how to deduce out of it three other theories: Borel-Moore homology…
A comparison theorem for MW-motivic cohomology
Baptiste Calmès, Jean Fasel
We prove that for a finitely generated field over an infinite perfect field k, and for any integer n, the (n,n)-th MW-motivic cohomology group identifies with the n-th Milnor-Witt…
A cancellation theorem for Milnor-Witt correspondences
Jean Fasel, Paul Arne Østvær
We show that finite Milnor-Witt correspondences satisfy a cancellation theorem with respect to the pointed multiplicative group scheme. This has several notable applications in the…
MW-motivic complexes
Frédéric Déglise, Jean Fasel
The aim of this work is to develop a theory parallel to that of motivic complexes based on cycles and correspondences with coefficients in quadratic forms. This framework is closer…