  We construct some natural cycles with trivial regulator in the higher Chow
groups of Jacobians. For hyperelliptic curves we use a criterion due to J.
Lewis to prove that the cycles we construct are indecomposable, and then use a
specialization argument to prove indecomposability for more general curves.
  Please note that math.AG/9909062 has become an obsolete version of some of
the results in the present paper.
