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arxiv: 1810.12203 · v1 · pith:ONG4JAG7new · submitted 2018-10-29 · 🧮 math.KT

K-theory of valuation rings

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keywords ringstheoryalgebraicresultsvaluationanaloguebehaveconcerning
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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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