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Gersten's conjecture for commutative discrete valuation rings

Satoshi Mochizuki
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Abstract

The purpose of this article is to prove that Gersten's conjecture for a commutative discrete valuation ring is true. Combining with the result of \cite{GL87}, we learn that Gersten's conjecture is true if the ring is a commutative regular local, smooth over a commutative discrete valuation ring.

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Satoshi Mochizuki. 2007-02-12. Gersten's conjecture for commutative discrete valuation rings. https://arxiv.org/abs/math/0702315

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