$K$-theory of valuation rings

Published 29 Oct 2018 in math.KT | (1810.12203v1)

Abstract: 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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