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arXiv · 1810.12203

$K$-theory of valuation rings

Shane Kelly·Matthew Morrow
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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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Shane Kelly, Matthew Morrow. 2018-10-29. $K$-theory of valuation rings. https://arxiv.org/abs/1810.12203

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