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On Problems about a generalization of the Brauer group by Sakagaito, Makoto is a scholarly article available to read on EtoBox.

What is On Problems about a generalization of the Brauer group about?

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 $p>0$. Moreover we consider a generalization of Artin's theorem on Brauer groups.

Author

Sakagaito, Makoto

Published

2015

Language

EN