Local Gersten's conjecture for regular system of parameters

2015/03/27 by Satoshi Mochizuki, Mochizuki, Satoshi
Mathematics · #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT)

paper · pdf · doi:10.48550/arxiv.1503.07966

openalex publication_date 2015/03/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we show local Gersten's conjecture for regular system of parameters. As its consequence we obtain Gersten's conjecture for a commutative regular local ring and smooth over a commutative discrete valuation ring.

Related

• Gersten's conjecture for commutative discrete valuation rings
• Gersten's conjecture
• Regular Morphisms and Gersten's Conjecture
• A singular analogue of Gersten's conjecture and applications to\n K-theoretic adeles
• Gersten Conjecture For Equivariant K-theory And Applications