  The magnetization process of the spin-S Heisenberg antiferromagnet on the
kagome lattice is studied by the numerical-diagonalization method. Our
numerical-diagonalization data for small finite-size clusters with S=1, 3/2, 2,
and 5/2 suggest that a magnetization plateau appears at one-third of the height
of the saturation in the magnetization process irrespective of S. We discuss
the S dependences of the edge fields and the width of the plateau in comparison
with recent results obtained by real-space perturbation theory.
