  In this paper we compute the asymptotics of the metric on the line bundle
over the moduli space of curves that arises when attempting to compute the
archimedean height of the algebraic cycle $C-C^-$ in the jacobian of a smooth
projective curve of genus $g$. One way to express the results is to say that
the metric extends (more or less) to the line bundle found by Moriwaki that has
non-negative degree on every complete curve in $\Mbar_g$ not contained in the
boundary.
