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arXiv · 1211.1533

K-theory of one-dimensional rings via pro-excision

Matthew Morrow
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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).

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Matthew Morrow. 2013-09-02. K-theory of one-dimensional rings via pro-excision. https://doi.org/10.1017/s1474748013000194

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