### On the K-theory of elliptic curves, by Kevin P. Knudson

Let A be the coordinate ring of an affine elliptic
curve (over an infinite field k) of the form X-{p}, where
X is projective and p is a closed point on X. Denote by
F the function field of X. We show that the image of
H_{*}(GL_{2}(A),**Z**) in
H_{*}(GL_{2}(F),**Z**) coincides with
the image of H_{*}(GL_{2}(k),**Z**). As a consequence, we
obtain numerous results about the K-theory of A and X.
For example, if k is a number field, we show that r_{2}
K_{2}(A)_{Q} = 0, where r_{m} denotes the mth
level of the rank filtration.

Note: the dvi file has missing figures; they are included in the PS file.

Kevin P. Knudson <knudson@math.nwu.edu>