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Remarques sur la cohomologie des variétés analytiques complexes. (French) Zbl 0248.32009


MSC:

32C35 Analytic sheaves and cohomology groups
32F10 \(q\)-convexity, \(q\)-concavity
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References:

[1] AEPPLI (A.) . - On the cohomology structure of Stein manifolds , Proceedings of the conference on complex analysis [Minneapolis, 1964 ], p. 58-70. - Berlin, Springer-Verlag, 1965 . Zbl 0166.33902 · Zbl 0166.33902
[2] ANDREOTTI (A.) et NORGUET (F.) . - Cycles of algebraic manifolds and \partial \partial -cohomology , Ann. Scuola norm. sup. di Pisa, t. 25, 1971 , p. 59-114. Numdam | MR 44 #5512 | Zbl 0212.53701 · Zbl 0212.53701
[3] BIGOLIN (B.) . - Gruppi di Aeppli , Ann. Scuola norm. sup. di Pisa, t. 23, 1969 , p. 259-287. Numdam | MR 39 #7142 | Zbl 0202.07601 · Zbl 0202.07601
[4] BIGOLIN (B.) . - Osservazioni sulla coomologia del \partial \partial , Ann. Scuola norm. sup. di Pisa, t. 24, 1970 , p. 571-583. Numdam | MR 42 #4775 | Zbl 0223.32015 · Zbl 0223.32015
[5] DOLBEAULT (P.) . - Formes différentielles et cohomologie sur une variété analytique complexe , I, Annals of Math., t. 64, 1956 , p. 83-130 (Thèse Sc. math. Paris, 1955 ). MR 18,670e | Zbl 0072.40603 · Zbl 0072.40603 · doi:10.2307/1969950
[6] FRENKEL (J.) et NORGUET (F.) . - Sur la cohomologie àcoefficients complexes des variétés de Stein , C. R. Acad. Sc. Paris, t. 256, 1963 , p. 2988-2989. MR 26 #5592 | Zbl 0151.31902 · Zbl 0151.31902
[7] LE POTIER (J.) . - Une propriété topologique des espaces q-convexes , Bull. Soc. math. France, t. 98, 1970 , p. 319-328. Numdam | MR 43 #7664 | Zbl 0204.56501 · Zbl 0204.56501
[8] SERRE (J.-P.) . - Groupes d’homotopie et classes de groupes abéliens , Annals of Math., t. 58, 1953 , p. 258-294. MR 15,548c | Zbl 0052.19303 · Zbl 0052.19303 · doi:10.2307/1969789
[9] SERRE (J.-P.) . - Quelques problèmes globaux relatifs aux variétés de Stein , Colloque sur les fonctions de plusieurs variables [Bruxelles, 1953 ], p. 57-68. - Liège, G. Thone ; Paris, Masson, 1953 (Centre belge de Recherches mathématiques). Zbl 0053.05302 · Zbl 0053.05302
[10] SORANI (G.) . - Homologie des q-paires de Runge , Ann. Scuola norm. sup. di Pisa, t. 17, 1963 , p. 319-332. Numdam | MR 29 #2432 | Zbl 0126.09701 · Zbl 0126.09701
[11] SORANI (G.) and VILLANI (V.) . - q-complete spaces and cohomology , Trans. Amer. math. Soc., t. 125, 1966 , p. 432-448. MR 34 #6154 | Zbl 0155.40203 · Zbl 0155.40203 · doi:10.2307/1994575
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