Milnor-Witt $K$-groups of local rings
K-Theory and Homology
2015-05-22 v2
Abstract
We introduce Milnor-Witt -groups of local rings and show that the th Milnor-Witt -group of a local ring which contains an infinite field of characteristic not is the pull-back of the th power of the fundamental ideal in the Witt ring of and the th Milnor -group of over the th Milnor -group of modulo . This generalizes the work of Morel-Hopkins on Milnor-Witt -groups of fields.
Cite
@article{arxiv.1501.07631,
title = {Milnor-Witt $K$-groups of local rings},
author = {Stefan Gille and Stephen Scully and Changlong Zhong},
journal= {arXiv preprint arXiv:1501.07631},
year = {2015}
}