On a generalized Brauer group in mixed characteristic cases, II
Number Theory
2023-11-16 v3 Algebraic Geometry
Abstract
As an extension of an author's previous paper, we prove the Gersten-type conjecture for the mod \'{e}tale motivic cohomology over a local ring of mixed characteristic . We also prove the -homotopy invariance for the generalized Brauer group which is a genelization of a result due to Saltman in mixed characteristic cases.
Keywords
Cite
@article{arxiv.2103.12288,
title = {On a generalized Brauer group in mixed characteristic cases, II},
author = {Makoto Sakagaito},
journal= {arXiv preprint arXiv:2103.12288},
year = {2023}
}
Comments
52 pages, Theorem 1.3 in this version is an extension of Theorem 1.1 in v.2, Theorem 1.6 in this version is an extension of Theorem 1.2 in v.2