### On the K-theory of nilpotent endomorphisms, by Lars Hesselholt and Ib Madsen

Let A be a smooth algebra over a perfect field k of characteristic
p>0. This paper evaluates
K_*(A[x]/(x^n),(x))
in terms of the big deRham-Witt complex of A. The result generalized
the case A = k, which was treated in an earlier paper. We use this to
evaluate the groups
Nil_*(A[x]/(x^n)).
The result again is given in terms of big deRham-Witt complexes.
When A is a polynomial algebra the structure of these groups is
completely known.

Lars Hesselholt <larsh@math.mit.edu>

Ib Madsen <imadsen@imf.au.dk>