The Levi problem for cohomology classes

Mihnea Coltoiu

Annales de l'institut Fourier (1984)

  • Volume: 34, Issue: 1, page 141-154
  • ISSN: 0373-0956

Abstract

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In this paper we extend to complex spaces and coherent analytic sheaves some results of Andreotti and Norguet concerning the extension of cohomology classes.

How to cite

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Coltoiu, Mihnea. "The Levi problem for cohomology classes." Annales de l'institut Fourier 34.1 (1984): 141-154. <http://eudml.org/doc/74613>.

@article{Coltoiu1984,
abstract = {In this paper we extend to complex spaces and coherent analytic sheaves some results of Andreotti and Norguet concerning the extension of cohomology classes.},
author = {Coltoiu, Mihnea},
journal = {Annales de l'institut Fourier},
keywords = {Levi problem; strongly q-pseudoconvex; strictly q-pseudoconvex; strongly pseudoconcave; non extendibility of cohomology class},
language = {eng},
number = {1},
pages = {141-154},
publisher = {Association des Annales de l'Institut Fourier},
title = {The Levi problem for cohomology classes},
url = {http://eudml.org/doc/74613},
volume = {34},
year = {1984},
}

TY - JOUR
AU - Coltoiu, Mihnea
TI - The Levi problem for cohomology classes
JO - Annales de l'institut Fourier
PY - 1984
PB - Association des Annales de l'Institut Fourier
VL - 34
IS - 1
SP - 141
EP - 154
AB - In this paper we extend to complex spaces and coherent analytic sheaves some results of Andreotti and Norguet concerning the extension of cohomology classes.
LA - eng
KW - Levi problem; strongly q-pseudoconvex; strictly q-pseudoconvex; strongly pseudoconcave; non extendibility of cohomology class
UR - http://eudml.org/doc/74613
ER -

References

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  1. [1] A. ANDREOTTI, Théorèmes de dépendance algébrique sur les espaces complexes pseudo-concaves, Bull. Soc. Math. France, 91 (1963), 1-38. Zbl0113.06403MR27 #2649
  2. [2] A. ANDREOTTI, H. GRAUERT, Théorèmes de finitude pour la cohomologie des espaces complexes, Bull. Soc. Math. France, 90 (1962), 193-259. Zbl0154.33601MR27 #343
  3. [3] A. ANDREOTTI, A. KAS, Duality on complex spaces, Ann. Scuola Norm. Sup. Pisa, sér. III, vol. XXVII, Fasc. II (1973), 187-263. Zbl0278.32007MR54 #13117
  4. [4] A. ANDREOTTI, F. NORGUET, Problème de Levi et convexité holomorphe pour les classes de cohomologie, Ann. Scuola Norm. Sup. Pisa, sér. III, vol. XX, Fasc. II (1966), 197-241. Zbl0154.33504MR33 #7583
  5. [5] C. BANICA, O. STANASILA, Méthodes algébriques dans la théorie des espaces complexes, Gauthier-Villars, (1977). Zbl0349.32006
  6. [6] R. GODEMENT, Topologie algébrique et théorie des faisceaux, Hermann, Paris, 1958. Zbl0080.16201MR21 #1583
  7. [7] R. NARASIMHAN, The Levi problem for complex spaces I, Math. Ann., 142 (1961), 355-365. Zbl0106.28603MR26 #6439
  8. [8] R. NARASIMHAN, Introduction to the Theory of Analytic Spaces, Lecture Notes in Mathematics, vol. 25, Springer-Verlag New York, Inc., New York, 1966. Zbl0168.06003MR36 #428
  9. [9] H.-J. REIFFEN, Riemannsche Hebbarkeitssätze für Cohomologieklassen und ihre algebraische Träger, Math. Ann., 164 (1966), 272-279. Zbl0142.41102MR33 #5942
  10. [10] Y.-T. SIU, Analytic sheaf cohomology groups of dimension n of n-dimensional complex spaces, Trans. Amer. Math. Soc., 143 (1969), 77-94. Zbl0186.40404MR40 #5902

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