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An envelope of holomorphy for certain normal complex spaces

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References

  1. Andreotti, A., Stoll, W.: Analytic and algebraic dependence of meromorphic functions. Lect. Notes Math. 234. Berlin, Heidelberg, New York: Springer 1971

    Google Scholar 

  2. Andreotti, A., Stoll, W.: Meromorphic functions on complex spaces. Séminaire F. Norguet. In: Lect. Notes Math. 409. Berlin, Heidelberg, New York: Springer 1974

    Google Scholar 

  3. Cartan, H., Thullen, P.: Zur Theorie der Singularitäten der Funktionen mehrerer komplexer Veränderlicher, Regularitäts-und Konvergenzbereiche. Math. Ann.106, 617–647 (1932)

    Google Scholar 

  4. Cerronne, P.: Domini di Riemann non ramificati su uno spazio complesso: esempi e controesempi. Algebra Geom. Suppl. B.U.M.I.2, 319–340 (1980)

    Google Scholar 

  5. Grauert, H.: Charakterisierung der holomorph-vollständigen komplexen Räume. Math. Ann.129, 233–259 (1955)

    Google Scholar 

  6. Grauert, H.: Bemerkenswerte pseudokonvexe Mannigfaltigkeiten. Math. Z.81, 377–391 (1963)

    Google Scholar 

  7. Grauert, H.: Set theoretic complex equivalence relations. Math. Ann.265, 137–148 (1983)

    Google Scholar 

  8. Grauert, H., Remmert, R.: Coherent analytic sheaves. Grundl. Math. Wiss. 265. Berlin, Heidelberg, New York: Springer 1984

    Google Scholar 

  9. Gunning, R.C., Rossi, H.: Analytic functions of several complex variables. Englewood Cliffs, NJ: Prentice-Hall 1965

    Google Scholar 

  10. Iwahashi, R.: Domains spread on a complex space. J. Math. Soc. Japan9, 452–463 (1957)

    Google Scholar 

  11. Kaup, B.: Über offene analytische Äquivalenzrelationen. Math. Ann.183, 6–16 (1969)

    Google Scholar 

  12. Kerner, H.: Holomorphiehüllen zuK-vollständigen komplexen Räumen. Math. Ann.138, 316–328 (1959)

    Google Scholar 

  13. Remmert, R.: Sur les espaces analytiques holomorphiquement séparables et holomorphiquement convexes. C.R. Acad. Sci. Paris243, 118–121 (1953)

    Google Scholar 

  14. Scheja, G.: Verzweigte Holomorphiehüllen. Sitzungsber. Akad. Wiss., Natur. Kl. 6–18 (1959)

  15. Skoda, H.: Fibrés holomorphes à base et à fibre de Stein. Invent. Math.43, 97–107 (1977)

    Google Scholar 

  16. Vigué, J.P.: Construction d'enveloppes d'holomorphie par la méthode de H. Cartan et P. Thullen. Math. Ann.259, 111–118 (1982)

    Google Scholar 

  17. Wiegmann, K.W.: Some remarks on a quotient theorem by Andreotti-Stoll. Rev. Roum. Math. Pures Appl.23, 965–971 (1978)

    Google Scholar 

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Authors and Affiliations

  1. Mathematisches Institut, Technische Universität, D-8000, München 2, Federal Republic of Germany

    Sandra Hayes

  2. Faculté des Sciences, Université, F-49045, Angers, France

    Geneviève Pourcin

Authors
  1. Sandra Hayes
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  2. Geneviève Pourcin
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Hayes, S., Pourcin, G. An envelope of holomorphy for certain normal complex spaces. Math. Ann. 273, 199–207 (1986). https://doi.org/10.1007/BF01451400

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