Homology of $G{L}_3$ of function rings of elliptic curves

Abstract

The note provides a description of the homology of $G{L}_3$ over function rings of affine elliptic curves over arbitrary fields, following the earlier work of Takahashi and Knudson in the case $G{L}_2$. Some prospects for applications to K-theory of elliptic curves are also discussed.

arXiv comment7 pages (detailed proofs omitted), comments very welcome!

Cited by in corpus (1)

• On the cohomology of $G{L}_3$ of elliptic curves and Quillen's conjecture