This is a preview of subscription content, log in via an institution to check access.
References
Borel, A., and J.C. Moore: Homology theory for locally compact spaces. Mich. math. J.7, 137–159 (1960).
—, et A. Haefliger: La classe d'homologie fondamentale d'un espace analytique. Bull. Soc. math. France89, 461–513 (1961).
Bredon, G.: Sheaf theory. New York: McGraw-Hill 1967.
Bungart, L.: Integration on real analytic varieties I. The volume element. Journal of Math. and Mechanics15, no. 6, 1039–1046 (1966).
—: Integration on real analytic varieties II. Stokes Formula. Journal of Math. and Mechanics15, no. 6, 1047–1054 (1966).
Giesecke, B.: Simpliziale Zerlegungen abzählbarer analytischer Räume. Math. Zeitsch.83, 177–213 (1964).
Grauert, H., u. H. Kerner: Deformationen von Singularitäten komplexer Räume. Math. Ann.153, 236–260 (1964).
Grothendieck, A.: Sur les faisceaux algébriques et les faisceaux analytiques cohérents. Séminaire H. Cartan 1956–1957. Exposé no. 2. Secrétariat Mathématique Paris, 1958.
Grothendieck, A.: Elements de calcul infinitésimal. Séminaire H. Cartan 1960–1961, Exp. no. 14, Secrétariat mathématique. Paris 1959.
Grothendieck, A.: On the De Rham cohomology of algebraic varieties. Publ. Math. I.H.E.S., 29.
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.
Herrera, M.: Integration on a semianalytique set. Bull. Soc. Math. France94, 141–180 (1966).
—: De Rham theorems on semianalytic sets. Bull. A.M.S.73, no. 3, 414–418 (1967).
Lojasiewicz, S.: Ensembles semianalytiques. Institut des Hautes Etudes Scientifiques, Paris: Presses Universitaries de France 1966.
—: Triangulation of semianalytic sets. Ann. Scuola norm. sup. Pisa. 3 serie,18, 449–474 (1964).
Norguet, F.: Dérivées partielles et résidus de formes différentielles. Séminaire P. Lelong 1958–1959, Exp. no. 10, Secrétariat mathématique, Paris 1959.
Reiffen, H.J.: Das Lemma von Poincaré für holomorphe Differentialformen auf komplexen Räumen. Math. Zeitsch.101, 269–284 (1964).
Reiffen, H.J.: Kontrahierbare analytische Algebren. (To be published.)
Serre, J.P.: Géométrie algébrique et géométrie analytique. Annals de l'Institute Fourier6, 1–42 (1956).
Grauert, H.: Ein Theorem der analytischen Garbentheorie und die Modulräume komplexer Strukturen. Inst. Hautes Etudes, No. 5, 1960.
Hironaka, H.: The resolution of singularities of an algebraic variety over a field of characteristic zero. Ann. Math.19, 109–326 (1964).
Kaup, L.: Eine topologische Eigenschaft Steinscher Räume. Nachr. der Akad. Wiss. in Göttingen Nr. 8, 1966.
Narasimhan, R.: On the homology groups of Stein spaces. Inventiones math.2, 377–385 (1967).
Author information
Authors and Affiliations
Additional information
Supported by a National Research Council of Canada fellowship.
Rights and permissions
About this article
Cite this article
Bloom, T., Herrera, M. De Rham cohomology of an analytic space. Invent Math 7, 275–296 (1969). https://doi.org/10.1007/BF01425536
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01425536