3 citations · 7 across the 8 of their papers we have counts for
8 papers
Gersten-type conjecture for henselian local rings of normal crossing varieties
Makoto Sakagaito
Let and be integers. Let be the henselization of the local ring of a scheme at a point . For a normal cros…
On a generalized Brauer group in mixed characteristic cases, II
Makoto Sakagaito
As an extension of an author's previous paper, we prove the Gersten-type conjecture for the mod étale motivic cohomology over a local ring of mixed characteristic . We…
On étale hypercohomology of henselian regular local rings with values in -adic étale Tate twists
Makoto Sakagaito
Let be the henselization of a local ring of a semistable family over the spectrum of a discrete valuation ring of mixed characteristic and the residue field of …
A note on Gersten's conjecture for étale cohomology over two-dimensional henselian regular local rings
Makoto Sakagaito
We show the Gersten's conjecture for étale cohomology over two dimensional henselian regular local rings without assuming equi-characteristic. As application, we obtain the local-g…
On a generalized Brauer group in mixed characteristic cases
Makoto Sakagaito
We define a generalization of the Brauer group for an equi-dimensional scheme and . In the case where is the spectrum of a local r…
On Problems about a generalization of the Brauer group
Makoto Sakagaito
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 cas…
Hasse principle for character group of finitely generated field over the rational number field
Makoto Sakagaito
In this paper, we show the Hasse principle for the character group of a finitely generated field over the rational number field. By applying this result, we obtain an algebraic pro…
On the Hasse Principle for the Brauer group of a purely transcendental extension field in one variable over an arbitrary field
Makoto Sakagaito
In this paper we show the Hasse principle for the Brauer group of a purely transcendental extension field in one variable over an arbitrary field.