Gersten's conjecture for commutative discrete valuation rings

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.

References in corpus (1)

• Higher algebraic $K$-theory of finitely generated torsion modules over principal ideal domains