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Gersten's conjecture for commutative discrete valuation rings

Research paper by Satoshi Mochizuki

Indexed on: 12 Feb '07Published on: 12 Feb '07Published in: Mathematics - K-Theory and Homology



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.