[Authors] A. L. Chistov [Title] Polynomial--time computation of the degree of a dominant morphism in zero--characteristic II [AMS Subj-class] 14Q15 Higher-dimensional varieties [Abstract] Consider a projective algebraic variety $W$ which is an irreducible component of a set of all common zeroes of a family of homogeneous polynomials of degrees less than $d$ in $n+1$ variables in zero--characteristic. Consider a dominant rational morphism from $W$ to $W'$ given by homogeneous polynomials of degree $d'$. We suggest algorithms to construct objects in general position related to the morphism $W\rightarrow W'$ generalizing the algorithms from the first part of the paper to the case $\dim W>\dim W'$. These algorithms are deterministic and polynomial in $(dd')^n$ and the size of input. [Comments] LaTeX, English, 64 pp. [Contact e-mail] sliss@iias.spb.su