This is a preview of subscription content, log in via an institution to check access.
References
Bąnicą, C., Stąnąsilą, O.: Méthodes algébriques dans la théorie globale des espaces complexes. Bucharest: Editura Academiei et Paris: Gauthier-Villars 1977
Barth, W., Peters, C., Van de Ven, A.: Compact complex surfaces. Berlin, Heidelberg, New York: Springer 1984
Brieskor, E.: Beispiele zur Differentialtopologie von Singularitäten. Invent. Math.2, 1–14 (1966)
Brieskorn, E.: Rationale Singularitäten komplexer Flächen. Invent. Math.4, 336–358 (1968)
Burghelea, D., Verona, A.: Local homological properties of analytic sets. Manuscr. Math.7, 55–66 (1972)
Cartan, H.: Quotient d'un espace analytique par un groupe d'automorphismes. In: Algebraic geometry and topology. Princeton: Princeton Univ. Press 1957
Dimca, A., Dimiev, S.: On analytic covering of weighted projective spaces. Bull. Lond. Math. Soc.17, 234–238 (1985)
Dimca, A.: Singularities and coverings of weighted complete intersections. J. Reine Angew. Math.366, 184–193 (1986)
Dolgachev, I.: Weighted projective varieties, in Group actions and vector fields. Lect. Notes Math.956, Berlin, Heidelberg, New York: Springer 1982
Ehlers, F.: Eine Klasse komplexer Mannigfaltigkeiten und die Auflösung einiger isolierter Singularitäten. Math. Ann218, 127–156 (1975)
Fossum, R.: The divisor class group of a Krull domain. Erg Math.74. Berlin, Heidelberg New York: Springer 1973
Grothendieck, A.: Cohomologie locale des faisceaux cohérents et Théorèmes de Lefschetz locaux et globaux (SGA 2). Amsterdam: North-Holland 1968
Hamm, H.A.: Lokale topologische Eigenschaften komplexer Räume. Math. Ann.191, 235–252 (1971)
Hamm, H.A.: On the vanishing of local homotopy groups for isolated singularities of complex spaces. J. Reine Angew. Math.323, 172–176 (1981)
Hartshorne, R.: Equivalence relations on algebraic cycles and subvarieties of small codimension. In: Algebraic Geometry-Arcata 1974, Proc. Symp. Pure Math.29. Providence: American Math. Soc. 1975
Hartshorne, R.: Algebraic geometry. Graduate Texts in Math. 52, corrected third printing. Berlin, Heidelberg, New York. Springer 1983
Höfer, Th.: Ballquotienten als verzweigte Überlagerungen der projektiven Ebene. Preprint Max-Planck-Institut, Bonn (1985)
Kato, M.: Partial Poincaré duality fork-regular spaces and complex algebraic sets: Topology16, 33–50 (1977)
Le, D. T., Saito, K.: The local π1 of the complement of a hypersurface with normal crossings in codimension 1 is abelian. Ark. för Mat.22, 1–24 (1984)
Prill, D.: Local classification of quotients of complex manifolds by discontinuous groups. Duke Math. J.34, 375–386 (1967)
Serre, J.-P.: Groupes algebriques et corps de classes. Paris: Hermann 1959
Spanier, E.: Algebraic topology. New York: McGraw-Hill 1966
Stein, K.: Analytische Zerlegungen Komplexer Räume. Math. Ann.132, 63–93 (1956)
Whitney, H.: Tangents to an analytic variety. Ann. Math.81, 496–549 (1965)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Dimca, A. On analytic abelian coverings. Math. Ann. 279, 501–515 (1988). https://doi.org/10.1007/BF01456284
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01456284