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On the topology of compact complex surfaces

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Functional Analysis, Holomorphy, and Approximation Theory

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 843))

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References

  1. Arnold, V.I., Normal Forms of Functions in Neighbourhoods of Degenerate Critical Points. Usp. Math. Nauk, Russian Math. Surveys 29:2, 10–50 (1974).

    Article  Google Scholar 

  2. Barthel, G., Topologie normaler gewichtet homogener Flächen. In P. Holm (editor): Real and Complex Singularities, Oslo 1976, Sijthoff & Noordhoff Intern. Publ. Groningen-Leyden; 99–126 (1977).

    Google Scholar 

  3. Barthel, G., Homöomorphieklassifikation normaler gewichtet homogener Flächen (in preparation).

    Google Scholar 

  4. Barthel, G., Zur Topologie normaler kubischer Flächen mit C*-aktion. Preprint.

    Google Scholar 

  5. Barthel, G., Kaup L., Homotopieklassifikation einfach zusammenhängender normaler kompakter komplexer Flächen. Math. Ann. 212, 113–144 (1974).

    Article  MathSciNet  Google Scholar 

  6. Giesecke, B., Simpliziale Zerlegung abzählbarer analytischer Räume. Math. Zeitschr. 83, 177–213 (1964).

    Article  MathSciNet  MATH  Google Scholar 

  7. Griffiths, P., Harris, J., Principles of Algebraic Geometry. Wiley-Interscience, (1978).

    Google Scholar 

  8. Kaup, L., Poincaré-Dualität für Räume mit Normalisierung. Ann. Sc. Norm. Sup. Pisa XXVI, 1–31 (1972).

    MathSciNet  MATH  Google Scholar 

  9. Kaup, L., Barthel, G., On the Homotopy Type of Weighted Homogeneous Normal Complex Surfaces, in "Several Complex Variables", Proceedings of Symposia in Pure Mathematics 30:1, 263–271 (1977).

    Article  MathSciNet  MATH  Google Scholar 

  10. Laufer, H., Normal two-dimensional Singularities. Ann. of Math. Studies 71, Princeton Univ. Press (1971).

    Google Scholar 

  11. Mandelbaum, R., On the Topology of Elliptic Surfaces. Preprint.

    Google Scholar 

  12. Mandelbaum, R., Moishezon, B., On the Topological Structure of Nonsingular Algebraic Surfaces in CP3. Topology 15, 23–40 (1976).

    Article  MathSciNet  MATH  Google Scholar 

  13. Mandelbaum, R., Moishezon, B., On the Topology of Simplyconnected Algebraic Surfaces. Topology

    Google Scholar 

  14. Milnor, J., Husemoller, D., Symmetric Bilinear Forms. Erg. Math. 73, Springer Verlag, Berlin-Heidelberg-New York (1973).

    Book  MATH  Google Scholar 

  15. Moishezon, B., Complex Surfaces and Connected Sums of Complex Projective Planes. LNM 603 Springer (1977).

    Google Scholar 

  16. Orlik, P., Weighted Homogeneous Polynomials and Fundamental Groups. Topology 9, 267–273 (1970).

    Article  MathSciNet  MATH  Google Scholar 

  17. Orlik, P., Wagreich, P., Isolated Singularities of Algebraic Surfaces with C*-Action. Ann. of Math. 93, 205–228 (1971).

    Article  MathSciNet  MATH  Google Scholar 

  18. Rohlin, V.A., A New Result in the Theory of 4-dimensional Manifolds (russian). Dokl. Akad. Nauk. SSSR 84, 221–224 (1952).

    MathSciNet  Google Scholar 

  19. Smale, S., On the Structure of Manifolds. Amer. J. of Math. 84, 387–399 (1962).

    Article  MathSciNet  MATH  Google Scholar 

  20. Teissier, B., Cycles évanescents, sections planes et conditions de Whitney. In: Singularités à Cargèse, Astérisque 7/8, 285–362 (1973).

    Google Scholar 

  21. Ueno, K., Introduction to Classification Theory of Algebraic Varieties and Compact Complex Spaces. In H. Popp (editor): Classification of Algebraic Varieties and Compact Complex Manifolds, LNM 412, Springer (1974).

    Google Scholar 

  22. Wall, C.T.C., On Simply-connected 4-Manifolds, J. London Math. Soc. 39, 141–149 (1964).

    Article  MathSciNet  MATH  Google Scholar 

  23. Whitehead, J.H.C., On Simply-connected 4-dimensional Polyhedra, Comm. Math. Helv. 22, 48–92 (1949).

    Article  MathSciNet  MATH  Google Scholar 

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Author information

Authors and Affiliations

  1. Fakultät für Mathematik, Universität Konstanz, Postfach 5560, D-7750, Konstanz

    Ludger Kaup

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  1. Ludger Kaup
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Silvio Machado

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© 1981 Springer-Verlag

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Kaup, L. (1981). On the topology of compact complex surfaces. In: Machado, S. (eds) Functional Analysis, Holomorphy, and Approximation Theory. Lecture Notes in Mathematics, vol 843. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0089280

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  • DOI: https://doi.org/10.1007/BFb0089280

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10560-2

  • Online ISBN: 978-3-540-38529-5

  • eBook Packages: Springer Book Archive

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