Holomorphic convexity of spaces of analytic cycles

François Norguet; Yum-Tong Siu

Bulletin de la Société Mathématique de France (1977)

  • Volume: 105, page 191-223
  • ISSN: 0037-9484

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Norguet, François, and Siu, Yum-Tong. "Holomorphic convexity of spaces of analytic cycles." Bulletin de la Société Mathématique de France 105 (1977): 191-223. <http://eudml.org/doc/87298>.

@article{Norguet1977,
author = {Norguet, François, Siu, Yum-Tong},
journal = {Bulletin de la Société Mathématique de France},
language = {eng},
pages = {191-223},
publisher = {Société mathématique de France},
title = {Holomorphic convexity of spaces of analytic cycles},
url = {http://eudml.org/doc/87298},
volume = {105},
year = {1977},
}

TY - JOUR
AU - Norguet, François
AU - Siu, Yum-Tong
TI - Holomorphic convexity of spaces of analytic cycles
JO - Bulletin de la Société Mathématique de France
PY - 1977
PB - Société mathématique de France
VL - 105
SP - 191
EP - 223
LA - eng
UR - http://eudml.org/doc/87298
ER -

References

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  1. [1] ANDREOTTI (A.) et GRAUERT (H.). — Théorèmes de finitude pour la cohomologie des espaces complexes, Bull. Soc. math. France, t. 90, 1962, p. 193-259. Zbl0106.05501MR27 #343
  2. [2] ANDREOTTI (A.) et NORGUET (F.). — La convexité holomorphe dans l'espace analytique des cycles d'une variété algébrique, Ann. Sc. Norm. Sup. Pisa, t. 21, 1967, p. 31-82. Zbl0176.04001MR39 #477
  3. [3] BARLET (D.). — Espace analytique réduit des cycles analytiques complexes compacts d'un espace analytique complexe de dimension finie, Fonctions de plusieurs variables complexes, II, Séminaire François Norguet, 1974/1975, p. 1-158. Berlin, Springer-Verlag, 1975 (Lecture Notes in Mathematics, 482) (Thèse Sc. math. Université Paris-VII, 1975). Zbl0331.32008
  4. [4] GUNNING (R. C.) and ROSSI (H.). — Analytic functions of several complex variables. — Englewood Cliffs, Prentice-Hall, 1965. Zbl0141.08601MR31 #4927
  5. [5] HÖRMANDER (L.). — L2 estimates and existence theorems for the A T T operator, Acta Math., Uppsala, t. 113, 1965, p. 89-152. Zbl0158.11002
  6. [6] NARASIMHAN (N.). — The Levi problem for complex spaces, Math. Annalen, I, t. 142, 1961, p. 355-365 ; II, t. 146, 1962, p. 195-216. Zbl0106.28603
  7. [7] NARASIMHAN (R.). — A note on Stein spaces and their normalizations, Ann. Sc. Norm. Sup. Pisa, t. 16, 1962, p. 327-333. Zbl0112.31102MR27 #3831
  8. [8] NORGUET (F.). — Remarques sur la cohomologie des variétés analytiques complexes, Bull. Soc. math. France, t. 100, 1972, p. 435-447. Zbl0248.32009MR50 #5007
  9. [9] REIFFEN (H. J.). — Riemannsche Hebbarkeitssätze für Cohomologieklassen mit kompakten Träger, Math. Annalen, t. 164, 1966, p. 272-279. Zbl0142.41102MR33 #5942
  10. [10] REMMERT (R.). — Sur les espaces analytiques holomorphiquement séparables et holomorphiquement convexes, C. R. Acad. Sc. Paris, t. 243, 1956, p. 118-127. Zbl0070.30401MR18,149c
  11. [11] SIU (Y. T.). — Analytic sheaf cohomology groups of dimension n of n-dimentional complex spaces, Trans. Amer. math. Soc., t. 143, 1969, p. 77-94. Zbl0186.40404MR40 #5902
  12. [12] STEIN (K.). — Überlagerungen holomorph-vollständiger komplexer Räume, Arch Ser. Math., t. 7, 1956, p. 354-361. Zbl0072.08002MR18,933a

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