2000 character limit reached
K-theory of one-dimensional rings via pro-excision (1211.1533v3)
Published 7 Nov 2012 in math.KT
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).