(K\)-theory of valuation rings

We prove several results showing that the algebraic \(K\)-theory of valuation rings behave as though such rings were regular Noetherian, in particular an analogue of the Geisser--Levine theorem. We also give some new proofs of known results concerning cdh descent of algebraic \(K\)-theory.

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Bibliographic Details
Published inarXiv.org
Main Authors Kelly, Shane, Morrow, Matthew
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 29.10.2018
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Summary:We prove several results showing that the algebraic \(K\)-theory of valuation rings behave as though such rings were regular Noetherian, in particular an analogue of the Geisser--Levine theorem. We also give some new proofs of known results concerning cdh descent of algebraic \(K\)-theory.
ISSN:2331-8422