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JOURNALS // Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya // Archive

Izv. Akad. Nauk SSSR Ser. Mat., 1967 Volume 31, Issue 6, Pages 1385–1414 (Mi im2594)

This article is cited in 8 papers

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

B. G. Moishezon


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.

UDC: 513.6

MSC: 32S45, 30D30, 14N05

Received: 30.03.1967


 English version:
Mathematics of the USSR-Izvestiya, 1967, 1:6, 1331–1356

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