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Bloom, Thomas; Herrera, Miguel

De Rham cohomology of an analytic space. (English) Zbl 0175.37301

Invent. Math. 7, 275-296 (1969).
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Cited in 1 Review
Cited in 42 Documents

MSC:

32-XX Several complex variables and analytic spaces

Keywords:

complex functions
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Full Text: DOI EuDML

References:

[1] Borel, A., and J.C. Moore: Homology theory for locally compact spaces. Mich. math. J.7, 137-159 (1960). · Zbl 0116.40301 · doi:10.1307/mmj/1028998385
[2] ?, et A. Haefliger: La classe d’homologie fondamentale d’un espace analytique. Bull. Soc. math. France89, 461-513 (1961). · Zbl 0102.38502
[3] Bredon, G.: Sheaf theory. New York: McGraw-Hill 1967. · Zbl 0158.20505
[4] Bungart, L.: Integration on real analytic varieties I. The volume element. Journal of Math. and Mechanics15, no. 6, 1039-1046 (1966). · Zbl 0158.40601
[5] ?: Integration on real analytic varieties II. Stokes Formula. Journal of Math. and Mechanics15, no. 6, 1047-1054 (1966). · Zbl 0158.40601
[6] Giesecke, B.: Simpliziale Zerlegungen abzählbarer analytischer Räume. Math. Zeitsch.83, 177-213 (1964). · Zbl 0123.39602 · doi:10.1007/BF01111199
[7] Grauert, H., u. H. Kerner: Deformationen von Singularitäten komplexer Räume. Math. Ann.153, 236-260 (1964). · Zbl 0118.30401 · doi:10.1007/BF01360319
[8] Grothendieck, A.: Sur les faisceaux algébriques et les faisceaux analytiques cohérents. Séminaire H. Cartan 1956-1957. Exposé no. 2. Secrétariat Mathématique Paris, 1958.
[9] Grothendieck, A.: Elements de calcul infinitésimal. Séminaire H. Cartan 1960-1961, Exp. no. 14, Secrétariat mathématique. Paris 1959.
[10] Grothendieck, A.: On the De Rham cohomology of algebraic varieties. Publ. Math. I.H.E.S., 29. · Zbl 0145.17602
[11] Grothendieck, A.: On the De Rham cohomology of algebraic varieties. Notes by J. Coutes and Jussila. To appear in ten exposes on the cohomology of schemas, North Holland.
[12] Herrera, M.: Integration on a semianalytique set. Bull. Soc. Math. France94, 141-180 (1966). · Zbl 0158.20601
[13] ?: De Rham theorems on semianalytic sets. Bull. A.M.S.73, no. 3, 414-418 (1967). · Zbl 0152.40601 · doi:10.1090/S0002-9904-1967-11772-5
[14] Lojasiewicz, S.: Ensembles semianalytiques. Institut des Hautes Etudes Scientifiques, Paris: Presses Universitaries de France 1966.
[15] ?: Triangulation of semianalytic sets. Ann. Scuola norm. sup. Pisa. 3 serie,18, 449-474 (1964).
[16] Norguet, F.: Dérivées partielles et résidus de formes différentielles. Séminaire P. Lelong 1958-1959, Exp. no. 10, Secrétariat mathématique, Paris 1959.
[17] Reiffen, H.J.: Das Lemma von Poincaré für holomorphe Differentialformen auf komplexen Räumen. Math. Zeitsch.101, 269-284 (1964). · Zbl 0164.09401 · doi:10.1007/BF01115106
[18] Reiffen, H.J.: Kontrahierbare analytische Algebren. (To be published.) · Zbl 0174.38902
[19] Serre, J.P.: Géométrie algébrique et géométrie analytique. Annals de l’Institute Fourier6, 1-42 (1956).
[20] Grauert, H.: Ein Theorem der analytischen Garbentheorie und die Modulräume komplexer Strukturen. Inst. Hautes Etudes, No. 5, 1960. · Zbl 0158.32901
[21] Hironaka, H.: The resolution of singularities of an algebraic variety over a field of characteristic zero. Ann. Math.19, 109-326 (1964). · Zbl 0122.38603 · doi:10.2307/1970486
[22] Kaup, L.: Eine topologische Eigenschaft Steinscher Räume. Nachr. der Akad. Wiss. in Göttingen Nr. 8, 1966.
[23] Narasimhan, R.: On the homology groups of Stein spaces. Inventiones math.2, 377-385 (1967). · Zbl 0148.32202 · doi:10.1007/BF01428900
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