Some Remarks on Units in Grothendieck-Witt Rings
K-Theory and Homology
2017-12-06 v3 Algebraic Geometry
Abstract
We establish new structures on Grothendieck-Witt rings, including a GW(k)-module structure on the unit group GW(k)^x and a presentation of \ul{GW}^x as an infinite Gm-loop sheaf. Even though our constructions are motivated by speculations in stable A1-homotopy theory, our arguments are purely algebraic.
Keywords
Cite
@article{arxiv.1612.04728,
title = {Some Remarks on Units in Grothendieck-Witt Rings},
author = {Tom Bachmann},
journal= {arXiv preprint arXiv:1612.04728},
year = {2017}
}
Comments
Revised version accepted for publication by the Journal of Algebra. Comments still welcome