[Authors] A. L. Chistov [Title] A correction in the statement of my theorem on the efficient smooth cover and smooth stratification of an algebraic variety [AMS Subj-class] 14Q15 Higher-dimensional varieties [Abstract] We correct the statement of our theorem about the construction of the efficient smooth cover and smooth stratification of an algebraic variety in zero--characteristic. Namely, this correction is related to the estimations of the lengths of the coefficients from the ground field of the polynomials giving the strata. The proof of this theorem, the bounds for degrees of the strata and all the consequences of the theorem are without changes. [Comments] LaTeX, English, 2 pp. [Contact e-mail] sliss@iias.spb.su