Integral homology of PGL_2 over elliptic curves

Mathematics – K-Theory and Homology

Scientific paper

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6 pages, 3 figures

Scientific paper

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 PGL_2(A). We obtain a rigidity result as a
corollary.

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