Article PDF
Avoid common mistakes on your manuscript.
References
Arnold, V. I., Normal forms of functions in neighborhoods of degenerate critical points.Russian Math. Surveys, 29 (1975), 10–50. Translated fromUsp. Math. Nauk., 29 (1974), 11–49.
Bialynicki-Birula, A., Some theorems on actions of algebraic groups.Ann. of Math., 98 (1973), 480–497.
Borel, A.,Linear Algebraic Groups. V. A. Benjamin, New York, 1969.
Grothendieck, A., Eléments de Géometrie Algébrique,Publ. Math. I.H.E.S., nos 4, 8, 11, 17, 20, 24 etc. 1964.
Grothendieck, A.,Séminaire de géométrie algébrique, vol. I, Lecture Notes in Mathematics, no. 224, Springer Verlag 1971.
Hartshorne, R., Curves with high self-intersection on algebraic surfaces.Publ. Math. I.H.E.S., 36, 111–125.
Hironaka, H., Resolution of singularities of an algebraic variety over a field of characteristic zero.Ann. of Math., 79 (1964), 109–326.
Holmann, H., Quotientenräume komplexer Mannigfaltigkeiten nach komplexen Lieschen Automorphismengruppen.Math. Ann., 139 (1960), 383–402.
Lipman, J., Rational singularities with applications to algebraic surfaces and unique factorization,Publ. Math. I.H.E.S., 36, 195–280.
Luna, D., Slices étales,Bull. Soc. math. France, Mémoire, 33 (1973), 81–105.
Matsumura, H. &Oort, F., Representability of Group Functors and Automorphisms of Algebraic schemes.Inventiones Math., 4 (1967), 1–25.
Milnor, J.,Isolated singularities of complex hypersurfaces. Princeton Univ. Press, 1968.
Orlik, P.,Seifert Manifolds. Lecture Notes in Mathematics, no. 291, Springer Verlag 1972.
Orlik, P. & Randell, R., The monodromy of a weighted homogeneous variety.Inventiones Math., to appear.
Orlik, P. &Raymond, F., Actions of the torus on 4-manifolds, I.Trans. Amer. Math. Soc., 152 (1970), 531–559.
Orlik, P. &Wagreich, P., Isolated singularities of algebraic surfaces with C*-action.Ann. of Math., 93 (1971), 205–226.
—, Singularities of algebraic surfaces with C*-action.Math. Ann., 193 (1971), 121–135.
—, Equivariant resolution of surfaces with C*-action.Lecture Notes in Mathematics, no. 298, 270–290. Springer Verlag 1972.
Ossa, E., Cobordismustheorie von fixpunktfreien und semifreienS 1-Mannigfaltigkeiten. Thesis, Bonn 1969.
von Randow, R.,Zur Topologie von dreidimensionalen Baummannigfaltigkeiten. Bonner Math. Schriften 14, 1962.
Seifert, H., Topologie dreidimensionaler gefaserter Räume.Acta. Math., 60 (1933), 147–238.
Shafarevich, I. R.,Basic Algebraic Geometry, Springer-Verlag, 1974.
Sumihiro, H., Equivariant Completion,J. Math Kyoto Univ., 14 (1974), 1–28.
Author information
Authors and Affiliations
Additional information
Both suthors received partial support from NSF. During part of this research the first named author was visiting the University of Oslo, Norway.
Rights and permissions
About this article
Cite this article
Orlik, P., Wagreich, P. Algebraic surfaces withk *-action. Acta Math 138, 43–81 (1977). https://doi.org/10.1007/BF02392313
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02392313