通过pro-excision研究一维环的K理论
K理论与同调
2013-09-03 v3
摘要
本文研究了一维（通常是半局部）环的K理论的“pro-excision”及其各种应用。特别地，我们证明了有限特征完美域上等特征环的Geller猜想，给出了混合特征中Geller猜想的初步结果，并建立了奇点K群的若干有限性结果（涵盖数域中的序和有限域上的奇异曲线）。
引用
@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}
}
备注
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