Integral homology of PGL₂ over elliptic curves

1998/01/21 by K. Knudson, Kevin P. Knudson, Knudson, Kevin P.
Computer Science · Mathematics · #20G10 #Algebraic Geometry and Number Theory #FOS: Mathematics #Group Theory (math.GR) #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT) #Topological and Geometric Data Analysis #math.GR #math.KT #msc:20G10

paper · pdf · doi:10.48550/arxiv.math/9801097

6 pages, 3 figures

arxiv created 1998/01/21 · openalex publication_date 1998/01/21 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let E be an elliptic curve defined via a Weierstrass equation F(x,y)=0 over an infinite field k. Denote by A the coordinate ring of E. In this note we compute the integral homology of PGL₂(A). We obtain a rigidity result as a corollary.

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