5 papers · 1 filter
On the motivic cohomology of some singular rings
Tess Bouis
Using non--invariant motivic cohomology, we prove motivic refinements of certain known computations of the algebraic -theory of singular rings, such as rings of th…
-connectivity of motivic spaces
Tess Bouis, Arnab Kundu
We prove a version of Morel's unstable -connectivity theorem over arbitrary base schemes. In the stable setting, this recovers (and simplifies the proof of) the known…
Weibel vanishing and the projective bundle formula for mixed characteristic motivic cohomology
Tess Bouis
We prove that the motivic cohomology of mixed characteristic schemes, introduced in our previous work, satisfies various expected properties of motivic cohomology, including a moti…
Beilinson--Lichtenbaum phenomenon for motivic cohomology
Tess Bouis, Arnab Kundu
The goal of this paper is to study non--invariant motivic cohomology, recently defined by Elmanto, Morrow, and the first-named author, for smooth schemes over possibl…
Motivic cohomology of mixed characteristic schemes
Tess Bouis
We introduce a theory of motivic cohomology for quasi-compact quasi-separated schemes, which generalises the construction of Elmanto--Morrow in the case of schemes over a field. Ou…