We estimate the perturbative nuclear shadowing in the nuclear structure fun
ction F-2(A)(x,Q(2)), mainly at the kinematic region of HERA using the Glau
ber-Mueller approach. The contributions of the quark and gluon sectors to t
he nuclear shadowing are estimated. We predict that the nuclear shadowing c
orrections are important and that saturation of the ratio R-1 = F-2(A)(x,Q(
2))/A F-2(N)(x,Q(2)) occurs at Q(2) greater than or equal to 1 GeV2 once th
e shadowing in the gluon sector is considered. [S0556-2813(99)05010-4].