Abstract
In this paper we prove the following conjecture of Brieskorn: “The complex of (holomorphic) differential forms of an isolated hypersurface singularity of dimension n>1 is exact in degree n−1.”
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Bibliographie
BRIESKORN, E.: Die Monodromie der Isolierten Singularitäten von Hyperflächen. Manuscripta Mathematica, Band 2, Heft 2.
HERRERA, M.E.: Integration on a semianalytic set. Bull.Soc.Math. France 94, 141–180 (1966).
HERRERA, M.E.: De Rham theorems on semianalytic sets. Bull.Amer. Math. Soc. 73, 414–418 (1967).
LERAY, J.: Le calcul différentiel et intégral sur une variété analytique complexe (Problème de Cauchy III). Bull.Soc.Math. France 87, 81–180 (1959).
MILNOR, J.: Singular points of complex hypersurfaces. Ann. of Math. Studies Number 61, Princeton, Princeton University Press (1968).
NORGUET, F.: Sur la théorie des résidus. C.R.Acad. Sci. Paris 248, 2057–2060 (1959).
REIFFEN, H-J.: Das Lemma von Poincaré für holomorphe Differentialformen auf komplexen Räumen. Math. Zeitschr. 101, 269–284 (1967).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Sebastiani, M. Preuve d'une conjecture de Brieskorn. Manuscripta Math 2, 301–308 (1970). https://doi.org/10.1007/BF01168382
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01168382