On Problems about a generalization of the Brauer group
Number Theory
2016-11-08 v2
Abstract
In this paper, we define a generalization of the Brauer groups by using Bloch's cycle complex on etale site. We prove the Gersten conjecture of generalized Brauer group on some cases. As an application we prove the Gersten conjecture of the logarithmic Hodge-Witt cohomology for a two dimensional regular local ring which is smooth over a spectrum of some discrete valuation ring of characteristic . Moreover we consider a generalization of Artin's theorem on Brauer groups.
Cite
@article{arxiv.1511.09232,
title = {On Problems about a generalization of the Brauer group},
author = {Makoto Sakagaito},
journal= {arXiv preprint arXiv:1511.09232},
year = {2016}
}
Comments
26 pages, added Lemma 4.1, Proposition 4.1, Remark 2,3 and section 5, revised Remark 6, Theorem 4.1 and argument in section 6