K-theory of one-dimensional rings via pro-excision
K-Theory and Homology
2013-09-03 v3
Abstract
This paper studies "pro-excision" for the K-theory of one-dimensional (usually semi-local) rings and its various applications. In particular, we prove Geller's conjecture for equal characteristic rings over a perfect field of finite characteristic, give the first results towards Geller's conjecture in mixed characteristic, and we establish various finiteness results for the K-groups of singularities (covering both orders in number fields and singular curves over finite fields).
Cite
@article{arxiv.1211.1533,
title = {K-theory of one-dimensional rings via pro-excision},
author = {Matthew Morrow},
journal= {arXiv preprint arXiv:1211.1533},
year = {2013}
}
Comments
Minor changes, including those suggested by the anonymous referee. The proof of the first main theorem is now valid also in characteristic 2. Awaiting publication in the Journal of the Institute of Mathematics of Jussieu