Gersten's conjecture

2007/04/18 by Satoshi Mochizuki, Mochizuki, Satoshi
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Finite Group Theory Research #K-Theory and Homology (math.KT) #math.KT

paper · pdf · doi:10.48550/arxiv.0704.2275

arxiv created 2007/04/18 · openalex publication_date 2007/04/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The purpose of this article is to prove that Gersten's conjecture for a commutative regular local ring is true. As its applications, we will prove the vanishing conjecture for certain Chow groups, generator conjecture for certain K-groups and Bloch's formula for absolute case.

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