Article contents
$K$-theory of one-dimensional rings via pro-excision
Published online by Cambridge University Press: 23 July 2013
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 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.
MSC classification
- Type
- Research Article
- Information
- Journal of the Institute of Mathematics of Jussieu , Volume 13 , Issue 2 , April 2014 , pp. 225 - 272
- Copyright
- ©Cambridge University Press 2013
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