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arXiv · 2103.12288

On a generalized Brauer group in mixed characteristic cases, II

Makoto Sakagaito
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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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Makoto Sakagaito. 2021-03-23. On a generalized Brauer group in mixed characteristic cases, II. https://arxiv.org/abs/2103.12288

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