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On a generalized Brauer group in mixed characteristic cases, II
Published 23 Mar 2021 in math.NT and math.AG | (2103.12288v3)
Abstract: As an extension of an author's previous paper, we prove the Gersten-type conjecture for the mod $p$ \'{e}tale motivic cohomology over a local ring of mixed characteristic $(0, p)$. We also prove the $\mathbb{P}{1}$-homotopy invariance for the generalized Brauer group which is a genelization of a result due to Saltman in mixed characteristic cases.
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