Resolution theorems for compact complex spaces with a sufficiently large field of meromorphic functions

The “Chow lemma” and theorems on the resolution of singularities and of the points of indeterminacy of meromorphic mappings are proved for n-dimensional compact complex spaces with n algebraically independent meromorphic functions. It is established that any such space may be made into a projective algebraic variety by a finite number of monoidal transformations with nonsingular centers.