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Barlet, Daniel

Convexité de l’espace des cycles. (French) Zbl 0395.32009

Bull. Soc. Math. Fr. 106, 373-397 (1978).
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Cited in 2 Reviews
Cited in 24 Documents

MSC:

32E05 Holomorphically convex complex spaces, reduction theory
32E10 Stein spaces
32U05 Plurisubharmonic functions and generalizations
32B15 Analytic subsets of affine space

Keywords:

Analytic Space of Compact Analytic Cycles

Citations:

Zbl 0382.32010
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\textit{D. Barlet}, Bull. Soc. Math. Fr. 106, 373--397 (1978; Zbl 0395.32009)
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References:

[1] ANDREOTTI (A.) et GRAUERT (H.) . - Théorèmes de finitudes pour la cohomologie des espaces complexes , Bull. Soc. math. France, t. 90, 1962 , p. 193-259. Numdam | MR 27 #343 | Zbl 0106.05501 · Zbl 0106.05501
[2] ANDREOTTI (A.) et NORGUET (F.) . - Problème de Levi et convexité holomorphe pour les classes de cohomologie , Ann. Scuola sup. Pisa, Série 3, t. 20, 1966 , p. 197-242. Numdam | MR 33 #7583 | Zbl 0154.33504 · Zbl 0154.33504
[3] ANDREOTTI (A.) et NORGUET (F.) . - La convexité holomorphe dans l’espace analytique des cycles d’une variété algébrique , Ann. Scuola sup. Pisa, Série 3, t. 21, 1967 , p. 31-82. Numdam | MR 39 #477 | Zbl 0176.04001 · Zbl 0176.04001
[4] BARLET (D.) . - Espace analytique réduit des cycles analytiques complexes compacts d’un espace analytique complexe de dimension finie , ”Séminaire F. Norguet : Fonctions de plusieurs variables complexes”, 1974 / 1975 , exposé n^\circ 1, 158 p. - Berlin, Springer-Verlag, 1975 (Lecture Notes in Mathematics, 482). MR 53 #3347 | Zbl 0331.32008 · Zbl 0331.32008
[5] BARLET (D.) . - Familles analytiques de cycles et classes fondamentales relatives (à paraître). · Zbl 0434.32011
[6] BISHOP (E.) . - Condition for the analyticity of certains sets , Michigan math. J., t. 11, 1964 , p. 289-304. Article | MR 29 #6057 | Zbl 0143.30302 · Zbl 0143.30302 · doi:10.1307/mmj/1028999180
[7] LELONG (P.) . - Intégration sur un ensemble analytique complexe , Bull. Soc. math. France, t. 85, 1957 , p. 239-262. Numdam | MR 20 #2465 | Zbl 0079.30901 · Zbl 0079.30901
[8] LIEBERMAN (D.) . - Compactness of the Chow scheme: application to automorphisms and deformations of Kahler manifolds (à paraître). · Zbl 0391.32018
[9] MAZET (P.) . - Un théorème d’image directe propre , Séminaire P. Lelong: Analyse, 1972 / 1973 , exposé n^\circ 10, 17 p. - Berlin, Springer-Verlag, 1974 (Lecture Notes in Mathematics, 410). MR 51 #10674 | Zbl 0305.32014 · Zbl 0305.32014
[10] NORGUET (F.) and SIU (Y. T.) . - Holomorphic convexity of spaces of cycles Bull. Soc. math. France, t. 105, 1977 , p. 191-223. Numdam | MR 58 #28677 | Zbl 0382.32010 · Zbl 0382.32010
[11] ŠAFAREVIČ (I. R.) . - Basic algebraic geometry . - Berlin, Springer-Verlag, 1974 (Grundlehren der mathematischen Wissenschaften, 213). MR 51 #3163 | Zbl 0284.14001 · Zbl 0284.14001
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