  We study $b\bar{b}$ and $c\bar{c}$ production and the influence of nuclear
shadowing at LHC and RHIC energies. We find a significant reduction in the
production cross section of both charm and bottom at RHIC and LHC. Bound states
such as $\Upsilon$ and $J/\Psi$ are suppressed by this reduction in the charm
production cross sections. Therefore, $J/\Psi$ suppression may not be useful as
a signature for the quark gluon plasma.
