RESOLUTION THEOREMS FOR COMPACT COMPLEX SPACES WITH A SUFFICIENTLY LARGE FIELD OF MEROMORPHIC FUNCTIONS

B G Moĭšezon

Mathematics of the USSR-Izvestiya · 1967 · 14 citations · 2 references

Concepts

Abstract

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.

References

2