On the K-theory of planar cuspical curves and a new family of polytopes
Let k be a regular Fp-algebra, let A =
k[x,y]/(xb - ya) be the coordinate ring of a
planar cuspical curve, and let I = (x,y) be the ideal that defines the
cusp point. We evaluate the relative K-groups Kq(A,I) in
terms of the groups of de Rham-Witt forms of k. The calculation is
conditioned on a conjecture of a combinatorial nature which we
formulate. The result generalizes previous results for K0
and K1 by Krusemeyer.
Lars Hesselholt
<larsh@math.nagoya-u.ac.jp>