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I compute the Coulomb correction to the total and diffractive cross sectionsfor virtual photon scattering off a heavy nucleus at low $x$. I show that itviolates the geometric scaling in a wide range of photon virtualities and isweakly $x$-independent. In heavy nuclei at low $Q^2$ the Coulomb correction tothe total and diffractive cross sections is about 20% and 40% correspondingly.

Violation of geometric scaling in DIS due to Coulomb corrections