26 citations · 28 across the 13 of their papers we have counts for
14 papers
Decomposing the Diagonals of Invariant Fields
David J Saltman
This work begins the process of using the decomposition of the diagonal as a tool for studying the rationality of invariant fields of finite groups . Our ground field must be ch…
Stable Rationality and Cyclicity
David J Saltman
There are two outstanding questions about division algebras of prime degree . The first is whether they are cyclic, or equivalently crossed products. The second is whether the c…
Mixed Characteristic Cyclic Matters
David J. Saltman
The Artin-Schreier polynomial is very well known. Polynomials of this type describe all degree (cyclic) Galois extensions over any commutative ring of characteris…
Genus 1 Curves in Severi--Brauer Surfaces
David J Saltman
In a talk at the Banff International Research Station in 2015 Asher Auel asked questions about genus one curves in Severi-Brauer varieties . More specifically he asked about…
Mixed Characteristic Artin Schreier Polynomials
David J Saltman
We present here a version of the Artin-Schreier polynomial that works in any characteristic. Let be the cyclic group of prime order . Equivalently, we prove one can lift d…
Bimodule Structure of Central Simple Algebras
Eliyahu Matzri, Louis H. Rowen, David J Saltman +1
For a maximal separable subfield of a central simple algebra , we provide a semiring isomorphism between --bimodules and - bisets of $G = \Gal(L/F)$, where $…