Integral homology of PGL_2 over elliptic curves
K-Theory and Homology
2007-05-23 v1 Group Theory
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 PGL_2(A). We obtain a rigidity result as a corollary.
Cite
@article{arxiv.math/9801097,
title = {Integral homology of PGL_2 over elliptic curves},
author = {Kevin P. Knudson},
journal= {arXiv preprint arXiv:math/9801097},
year = {2007}
}
Comments
6 pages, 3 figures