  The extend to which geometrical effects contribute to the production and
suppression of the $J/\psi$ and $q\bar{q}$ minijet pairs in general is
investigated for high energy heavy ion collisions at SPS, RHIC and LHC
energies. For the energy range under investigation, the geometrical effects
referred to are shadowing and anti-shadowing, respectively. Due to those
effects, the parton distributions in nuclei deviate from the naive
extrapolation from the free nucleon result; $f_{A}\neq A f_{N}$. The strength
of the shadowing/anti-shadowing effect increases with the mass number. The
consequences of gluonic shadowing effects for the $x_F$ distribution of
$J/\psi$'s at $\sqrt s =20$ GeV, $\sqrt s =200$ GeV and $\sqrt s =6$ TeV are
calculated for some relevant combinations of nuclei, as well as the $p_T$
distribution of minijets at midrapidity for $N_f=4$ in the final state.
