Geodesic
Compact complex manifolds without meromorphic functions
Matematičeskie zametki, Tome 17 (1975) no. 1, pp. 119-122

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Some properties of compact manifolds, on which there are no meromorphic functions except constants, are proved. In particular, the theorem on the finiteness of the number of analytic sets with $\operatorname{codim}=1$ on such manifolds is proved. 
@article{MZM_1975_17_1_a13,
     author = {V. A. Krasnov},
     title = {Compact complex manifolds without meromorphic functions},
     journal = {Matemati\v{c}eskie zametki},
     pages = {119--122},
     publisher = {mathdoc},
     volume = {17},
     number = {1},
     year = {1975},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1975_17_1_a13/}
}
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V. A. Krasnov. Compact complex manifolds without meromorphic functions. Matematičeskie zametki, Tome 17 (1975) no. 1, pp. 119-122. http://geodesic.mathdoc.fr/item/MZM_1975_17_1_a13/