On K₂ of 1-dimensional local rings

2004/02/12 by Amalendu Krishna, Krishna, Amalendu
Mathematics · #19C40 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT) #math.AG #math.KT #msc:19C40

paper · pdf · doi:10.48550/arxiv.math/0402190

arxiv created 2004/02/12 · openalex publication_date 2004/02/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study K₂ of one-dimensional local domains over a field of characteristic 0, introduce a conjecture, and show that this conjecture implies Geller's conjecture. We also show that Berger's conjecture implies Geller's conjecture, and hence verify it in new cases.

Citations

• Relative Algebraic K-Theory and Cyclic Homology

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