Article PDF
Avoid common mistakes on your manuscript.
References
Banica, C., Sur les fibres infinitésimales d'un morphisme propre d'espaces complexes. Seminaire F. Norguet. Fonctions de plusieurs variables complexes. IV Springer-Verlag Lec. Notes in Math.807 (1980).
Coltoiu, M. andMihalache, N.,Strongly plurisubharmonic exhaustion functions on 1-convex spaces. To appear in Math. Ann.
Grauert, H.,Über Modifikationen und exzeptionelle analytische Mengen. Math. Ann.146 (1962) p. 331–368.
Grauert, H. andRemmert, R.,Plurisubharmonische Funktionen in komplexen Raumen. Math. Z.65 (1956) p. 175–194.
Grauert, H. andRiemenschneider, O., Kählersche Mannigfaltigkeiten mit hyper-q-konvexen Rand. Problems in Analysis (Lectures at the Sympos, in honor of Solomon Bochner, Princeton Univ., Princeton, N.J., 1969), Princeton Univ. Press, Princeton, N.J., 1970, p. 61–79.
Laufer, H.,On CP 1 as exceptional set. Recent development in S.C.V. Ann. Math. Studies, Princeton, N.J. (1981) p. 261–275.
Lojasiewicz, S.,Triangulation of semi-analytic sets, Ann. Scula Norm. Sup. Pisa18 (1964) 449–474.
Nakano, S.,Vanishing theorems for weakly 1-complete manifolds. II, Publ. Res. Inst. Math. Sci., Kyoto Univ.10 (1974) p. 101–110.
Narasimhan, R.,The Levi problem for complex spaces. II, Math. Ann.146 (1962) p. 195–216.
Peternell, T.,On strongly pseudo-convex Kähler manifolds, Invent. Math.70 (1982) p. 157–168.
Reiffen, H. J.,Riemannsche Hebbarkeitssätze für Cohomologieklassen mit kompakten Träger. Math. Ann.164 (1966) 272–279.
Schneider, M.,Familien negativer Vektorbündel und 1-convexe Abbildungen. Abh. Math. Sem. Univ. Hamburg47 (1978) p. 150–170.
Vo Van Tan (a)On the embedding problem for 1-convex spaces. Trans. AMS256 (1979) p. 185–197; (b)Vanishing theorems and Kählerity for strongly pseudoconvex manifolds. Trans. AMS261 (1980) p. 297–302; (c)Embedding theorems and Kählerity for 1-convex spaces. Commen. Mathe. Helve.57 (1982) p. 196–201.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Coltoiu, M. On the embedding of 1-convex manifolds with 1-dimensional exceptional set. Commentarii Mathematici Helvetici 60, 458–465 (1985). https://doi.org/10.1007/BF02567427
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02567427