[Author]
 A. L. Chistov

[Title]
 Efficient construction of local parameters of irreducible
 components of an algebraic variety in nonzero characteristic

[AMS Subj-class]
 14Q15 Higher-dimensional varieties

[Abstract]
 Consider an $(n-s)$-dimensional algebraic variety $W$ defined over an
 infinite field $k$ of nonzero characteristic $p$ and irreducible over this
 field. Let $W$ be a subvariety of the projective space of dimension $n$. We
 prove that the local ring of $W$  has a sequence of local parameters
 represented by $s$ non--homogeneous polynomials with the product of degrees
 less than the degree of the variety multiplied to a constant depending on
 $n$. This allows to prove the existence of effective smooth cover and smooth
 stratification of an algebraic variety in the case of ground field of
 nonzero characteristic. The paper extends the analogous results of the author
 obtained earlier from zero to nonzero characteristic of the ground field.

[Comments]
 LaTeX, English, 23 pp.

[Contact e-mail]
 sliss@iias.spb.su