Gersten's conjecture for commutative discrete valuation rings

2007/02/12 by Satoshi Mochizuki, Mochizuki, Satoshi
Mathematics · #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics #K-Theory and Homology (math.KT) #math.AC #math.AG #math.KT

paper · pdf · doi:10.48550/arxiv.math/0702315

arxiv created 2007/02/12 · arxiv updated 2009/12/01

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 \citeGL87, 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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