Relative completions and K₂ of curves

2005/02/25 by K. Knudson, Kevin P. Knudson, Knudson, Kevin P.
Computer Science · Engineering · Mathematics · #19D55 #55P60 #Advanced Numerical Analysis Techniques #Algebraic Geometry and Number Theory #Algebraic Topology (math.AT) #Computational Geometry and Mesh Generation #FOS: Mathematics #K-Theory and Homology (math.KT) #math.AT #math.KT #msc:19D55 #msc:55P60

paper · pdf · doi:10.48550/arxiv.math/0502553

6 pages

arxiv created 2005/02/25 · openalex publication_date 2005/02/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We compute the completion of the special linear group over the coordinate ring of a curve over a number field k relative to its representation in \slnk, and relate this to the study of K₂ of the curve.

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