Mixed characteristic motivic cohomology satisfies Weibel vanishing, the projective bundle formula, comparison to Milnor K-theory, and pro cdh descent.
On the B eilinson fiber square
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Weibel vanishing and the projective bundle formula for mixed characteristic motivic cohomology
Mixed characteristic motivic cohomology satisfies Weibel vanishing, the projective bundle formula, comparison to Milnor K-theory, and pro cdh descent.