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Conjecture de serre et espaces hyperconvexes

Part of the Lecture Notes in Mathematics book series (LNM,volume 670)

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Bibliographie

  1. V. Ancona et J.-P. Speder: Espaces de Banach-Stein, Ann. Sc. Norm. Sup. Pisa 25, 1971, 683–690.

    MathSciNet  MATH  Google Scholar 

  2. J.L. Ermine: Conjecture de Serre pour les fibrés dans ℂ, Séminaire Lelong, 18 Février 1975.

    Google Scholar 

  3. G. Fischer: Fibrés holomorphes au-dessus d'un espace de Stein, Espaces analytyques, Bucarest, 1969, 57–69.

    Google Scholar 

  4. J. Frenkel: Cohomologie non abélienne et espaces fibrés, Bull. Soc. Math. France 85, 1957, 135–218.

    MathSciNet  MATH  Google Scholar 

  5. C.M. Goluzine: Geomtric theory of functions of a variable, Transl. of math. monographs, 1965.

    Google Scholar 

  6. R. Gunning et H. Rossi: Analytic functions of several complex variables, Prentice Hall, 1965.

    Google Scholar 

  7. A. Hirschowitz: Domaines de Stein et fonctions holomorphes bornées, Math. Ann. 213, 1975, 185–193.

    CrossRef  MathSciNet  MATH  Google Scholar 

  8. L. Hörmander: An introduction to complex analysis in several variables, Van Nostrand, 1966.

    Google Scholar 

  9. J. Kajiwara: On the enveloppe of holomorphy of a generalized tube in ℂn, Kodai Math. Sem. reports 15, 1963, 106–110.

    CrossRef  MathSciNet  MATH  Google Scholar 

  10. J. Kohn et Nirenberg: A pseucoconvex domain not admitting a holomorphic support function, Math. Ann. 201, 1973, 265–68.

    CrossRef  MathSciNet  MATH  Google Scholar 

  11. K. Königsberger: Über die holomorph Vollständigkeit lokal trivialer Faserräume, Math. Ann. 189, 1970, 178–184.

    CrossRef  MathSciNet  MATH  Google Scholar 

  12. P. Lelong: Fonctions plurisousharmoniques et formes différentielles positives, Gordon and Breach, 1968.

    Google Scholar 

  13. Y. Matsushima et A. Morimoto: Sur certains espaces fibrés sur une variété de Stein, Bull. Soc. Math. France 88, 1960, 137–155.

    MathSciNet  MATH  Google Scholar 

  14. R.P. Pflug: Holomorphiegebiete pseudokonvexe Gebiete und das Levi-Problem, Lect. Notes in Math. 432, Springer, 1975.

    Google Scholar 

  15. H.M. Reiman et T. Rychener: Funktionen beschränkter mittlerer Oszillation, Lect. Notes in Math. 487, Springer, 1975.

    Google Scholar 

  16. N. Sibony: Prolongement des fonctions holomorphes bornées, Inv. Math. 29, 1975, 205–230.

    CrossRef  MathSciNet  MATH  Google Scholar 

  17. Y.-T. Siu: All plane domains are Banach-Stein, Manuscripta Math. 14, 1974, 101–105.

    CrossRef  MathSciNet  MATH  Google Scholar 

  18. Y.-T. Siu: Holomorphic fibre bundles whose fibers are bounded Stein domain with zero first Betti number, Math. Ann. 219, 1976, 171–192.

    CrossRef  MathSciNet  MATH  Google Scholar 

  19. J.-L. Stehle: Fonctions plurisousharmoniques et convexité holomorphe de certains fibrés analytiques, C.R. Ac. Sci. Paris 279, 1974, p. 235 ou Séminaire Pierre Lelong (Analyse) Année 1973–74, Lect. Notes in Math. 474, 1975, 155–179.

    MathSciNet  MATH  Google Scholar 

  20. K. Stein: Überlagerung holomorph vollständiger komplexer Räume, Arch. Math. 7, 1956, 354–361.

    CrossRef  MATH  Google Scholar 

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© 1978 Springer-Verlag

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Ermine, JL. (1978). Conjecture de serre et espaces hyperconvexes. In: Norguet, F. (eds) Fonctions de Plusieurs Variables Complexes III. Lecture Notes in Mathematics, vol 670. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0064398

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  • DOI: https://doi.org/10.1007/BFb0064398

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