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math.AG2025
-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…
math.AG2025
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…
math.AG2025
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…