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Une caractérisation de la dimension d’un faisceau analytique cohérent. (French) Zbl 0246.32010

MSC:

32E10 Stein spaces
32C35 Analytic sheaves and cohomology groups

References:

[1] A. Andreotti Et H. Grauert [1 ] Théorèmes de finitude pour la cohomologie des espaces complexes . Bull. Soc. Math. France 90, 193-259 (1962). · Zbl 0106.05501 · doi:10.24033/bsmf.1581
[2] A. Andreotti AND A. Kas [2] Serre duality on complex analytic spaces . Rend. Acc. Naz. Lincei. (Avril 1971). · Zbl 0234.32010
[3] C. Bănică ET O. Stănăşilă [3] Sur la profondeur d’un faisceau analytique cohérent sur un espace de Stein . Séminaire d’espaces analytiques. Bucarest sept. 1969 et C. R. Acad. Sc. Paris 269, 636-639 (1969). · Zbl 0182.11103
[4] Some results on the extension of analytic entities defined out of a compact . Annali della Sc. Norm. Sup. Pisa, Vol. XXV, Fasc. II, (1971). · Zbl 0245.32004
[5] O. Forster [5] Zur Theorie der Steinschen Algebren und Moduln . Math. Z. 97, 376-405 (1967). · Zbl 0148.32203 · doi:10.1007/BF01112815
[6] A. Grothendieck [6] Cohomologie locale des faiseaux cohérents (SGA2) , North-Holland Publishing Company-Amsterdam, (1968). · Zbl 0197.47202
[7] R. Harvey [7 ] The theorie of hyperfunctions on totally real subsets of a complex manifold with applications to extension problem . Amer. Journal of Math. XCI, 4, October (1969). · Zbl 0202.36602 · doi:10.2307/2373307
[8] M. Jurchescu [8] On the canonical topology of an analytic algebra and of an analytic module . Bull. Soc. Math. France 93, 129-153 (1965). · Zbl 0147.01702 · doi:10.24033/bsmf.1619
[9] H.J. Reiffen [9] Riemannsche Hebbarkeitssätze für Cohomologieklassen mit kompakten Trägern . Math. Ann. 164 (1966), 272-279. · Zbl 0142.41102 · doi:10.1007/BF01360251
[10] P. Samuel [10] Séminaire d’algèbre commutative 1966/ 1967. · Zbl 0157.08301
[11] J.P. Serre [11] Algèbre locale, Multiplicités . Lecture Notes in Math., 11, Springer -Berlin (1965). · Zbl 0142.28603
[12] Y.T. Siu [12] Analytic sheaf cohomology with compact supports . Comp. Math. 21 (1969), 52-58. · Zbl 0175.37401
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