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We estimate the perturbative nuclear shadowing in the nuclear structurefunction $F_2^A(x,Q^2)$, mainly at the kinematic region of HERA using theGlauber-Mueller approach. The contributions of the quark and gluon sectors tothe nuclear shadowing are estimated. We predict that the nuclear shadowingcorrections are important and that saturation of the ratio $R_1 =F_2^{A}(x,Q^2)/A F^p_2(x,Q^2)$ occurs once the shadowing in the gluon sector isconsidered.Comment: 7 pages, 3 figure

Smallxnuclear shadowing in deep inelastic scattering