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arxiv: math/0702315 · v1 · submitted 2007-02-12 · 🧮 math.KT · math.AC· math.AG

Gersten's conjecture for commutative discrete valuation rings

classification 🧮 math.KT math.ACmath.AG
keywords commutativeconjecturediscretegerstenringvaluationtruearticle
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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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