Annulation de la cohomologie à valeurs dans le faisceau structural et espaces de Stein

S. Coen

Compositio Mathematica (1978)

  • Volume: 37, Issue: 1, page 63-75
  • ISSN: 0010-437X

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Coen, S.. "Annulation de la cohomologie à valeurs dans le faisceau structural et espaces de Stein." Compositio Mathematica 37.1 (1978): 63-75. <http://eudml.org/doc/89376>.

@article{Coen1978,
author = {Coen, S.},
journal = {Compositio Mathematica},
language = {fre},
number = {1},
pages = {63-75},
publisher = {Sijthoff et Noordhoff International Publishers},
title = {Annulation de la cohomologie à valeurs dans le faisceau structural et espaces de Stein},
url = {http://eudml.org/doc/89376},
volume = {37},
year = {1978},
}

TY - JOUR
AU - Coen, S.
TI - Annulation de la cohomologie à valeurs dans le faisceau structural et espaces de Stein
JO - Compositio Mathematica
PY - 1978
PB - Sijthoff et Noordhoff International Publishers
VL - 37
IS - 1
SP - 63
EP - 75
LA - fre
UR - http://eudml.org/doc/89376
ER -

References

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  2. [2] A. Andreotti and E. Vesentini, Les théorèmes fondamentaux de la théorie des espaces holomorphiquement complets, "Seminaire Ehresmann", 4, 1-31, Paris1962-63. MR171288
  3. [3] C. Bănică and O. Stănăsilă, Sur les ouverts de Stein dans un espace complexe, C.R. Acad. Sc. Paris, t. 268 (1969) 1024-1027. Zbl0176.03806MR243114
  4. [4] H. Behnke and K. Stein, Analytische Funktionen mehrerer Veränderlichen zu vorgegebenen Null- und Polstellenflächen, Jber. Deutsch. Math.- Verein., 47, (1937) 177-192. Zbl0017.40902JFM63.0987.01
  5. [5] H. Cartan, Les problèmes de Poincaré et de Cousin pour les fonctions de plusieurs variables complexes, C.R. Acad. Sc. Paris, t. 199 (1934) 1284-1287. Zbl0010.30904JFM60.1023.01
  6. [6] H. Grauert, Ein Theorem der analytischen Garbentheorie und die Modulräume komplexer Strukturen, Publ. I.H.E.S., 5, Paris, 1960. Zbl0100.08001MR121814
  7. [7] A. Grothendieck, Techniques de construction en géométrie analytique." Seminaire H. Cartan", 13, Paris, 1960-61. Zbl0236.14003
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  9. [9] R. Harvey and R.O. Wells, JR., Compact holomorphically convex subsets of a Stein manifold, Trans. Amer. Math. Soc., 136, (1969) 509-516. Zbl0175.37204MR235158
  10. [10] H.B. Laufer, On sheaf cohomology and envelopes of holomorphy, Ann. of Math., 84, (1966) 102-118. Zbl0143.30201MR209520
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  12. [12] A. Nagel, Cohomology, maximal ideals, and point evaluations, Proc. Amer. Math. Soc., 42 (1974) 47-50. Zbl0286.32012MR328122
  13. [13] H. Rossi, On Envelops of Holomorphy, Comm. Pure Appl. Math., XVI, (1963) 9-17. Zbl0113.06001MR148940
  14. [14] J.P. Serre, Quelques problèmes relatifs aux variétés de Stein, Coll. sur les fonct. de plus var., 57-68, Bruxelles, 1953. Zbl0053.05302MR64155
  15. [15] Y.-T. Siu, Analytic sheaf cohomology groups of dimension n of n-dimensional complex spaces, Trans. Amer. Math. Soc., 143 (1969) 77-94. Zbl0186.40404MR252684
  16. [16] Y.-T. Siu, Non-Countable Dimensions of Cohomology of Analytic Sheaves and Domains of Holomorphy, Math. Zeitschr.102, (1967) 17-29. Zbl0167.06802MR222342
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