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Embedding Moishezon spaces into 1-convex spaces. (English) Zbl 0429.32024


MSC:

32F10 \(q\)-convexity, \(q\)-concavity
32C15 Complex spaces

Citations:

Zbl 0424.32005
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References:

[1] Ancona, V.: Espaces fibrés linéaires faiblement négatifs sur un espace complexe. Trans. Amer. Math. Soc.215, 45-61 (1976) · Zbl 0319.32015
[2] Fujiki, A.: On the blowing down of analytic spaces. Publ. Res. Inst. Math. Sci.10, 473-507 (1975) · Zbl 0316.32009 · doi:10.2977/prims/1195192006
[3] Grauert, H.: Über Modifikationen und exzeptionelle analytische Mengen. Math. Ann.146, 331-368 (1962) · Zbl 0173.33004 · doi:10.1007/BF01441136
[4] Hironaka, H.: Flattening theorem in complex analytic geometry. Amer. J. Math.97, 503-547 (1975) · Zbl 0307.32011 · doi:10.2307/2373721
[5] Moishezon, B.G.: Onn-dimensional compact varieties withn algebraically independent meromorphic functions. I?III. Amer. Math. Soc. Transl.63, 51-177 (1967a) · Zbl 0186.26204
[6] Moishezon, B.G.: Resolution theorems for compact complex spaces with a sufficiently large field of meromorphic functions. Math. USSR-Izv.1, 1331-1356 (1967b) · doi:10.1070/IM1967v001n06ABEH000624
[7] Nakano, S.: Vanishing theorems for weakly 1-complete manifolds. Papers in honor of Y. Akizuki, Kinokuniya, 1973, pp. 169-179. Tokyo (1973)
[8] Vo Van Tan: On the embedding problem for 1-convex spaces. Trans. Amer. Math. Soc.256, 185-197 (1979) · Zbl 0424.32005
[9] Vo Van Tan: The stability of 1-convexity under normalization and G.A.G.A. (to appear)
[10] Vo Van Tan: Vanishing theorems and kahlerity for strongly pseudoconvex manifolds. Forthcoming in Trans. Amer. Math. Soc. (1980) · Zbl 0443.32021
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