K2 of localisations of local rings
K-Theory and Homology
2012-05-07 v1
Abstract
We show that K2 of "sufficiently regular" localisations of local rings (e.g. inverting a sequence of regular parameters) can be described by the Steinberg presentation. The proof is inductive on the number of irreducible elements being inverted, successively using a generalisation of a co-Cartesian square first exploited by Dennis and Stein.
Cite
@article{arxiv.1205.0860,
title = {K2 of localisations of local rings},
author = {Matthew Morrow},
journal= {arXiv preprint arXiv:1205.0860},
year = {2012}
}