2 citations · 3 across the 5 of their papers we have counts for
5 papers
The Witt Ring of a Curve with Good Reduction over a Non-dyadic Local Field
Jeanne M. Funk, Raymond T. Hoobler
In this work, we present a generalization to varieties and sheaves of the fundamental ideal of the Witt ring of a field by defining a sheaf of fundamental ideals and a…
The Witt Ring of a Smooth Projective Curve over a Finite Field
Jeanne M. Funk, Raymond T. Hoobler
In this paper we calculate the Witt ring W(C) of a smooth geometrically connected projective curve C over a finite field of characteristic different from 2. We view W(C) as a subri…
The Differential Brauer Group
Raymond T. Hoobler
Let be a ring equipped with a derivation . We study differential Azumaya algebras, that is, Azumaya algebras equipped with a derivation that extends . We calculat…
K-theory of Azumaya algebras over schemes
R. Hazrat, R. Hoobler
Let be a connected, noetherian scheme and be a sheaf of Azumaya algebras on which is a locally free -module of rank . We show that the ker…
The Merkuriev-Suslin theorem for any semi-local ring
Raymond T. Hoobler
We introduce here a method which uses etale neighborhoods to extend results from smooth semi-local rings to arbitrary semi-local rings A by passing to the henselization of a smooth…