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Taut two-dimensional singularities

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References

  1. Artin, M.: On isolated rational singularities of surfaces. Amer. J. Math.88, 129–136 (1966).

    Google Scholar 

  2. Brieskorn, E.: Rationale Singularitäten komplexer Flächen. Inv. math.4, 336–358 (1967/68).

    Google Scholar 

  3. Grauert, H.: Über Modifikationen und exzeptionelle analytische Mengen. Math. Ann.146, 331–368 (1962).

    Google Scholar 

  4. Hironaka, H.: Resolution of singularities of an algebraic variety over a field of characteristic zero: I, II. Ann. Math.79, 109–326 (1964).

    Google Scholar 

  5. Hirzebruch, F.: Über vierdimensionale Riemannschen Flächen mehrdeutiger analytischer Funktionen von zwei komplexen Veränderlichen. Math. Ann.126, 1–22 (1953).

    Google Scholar 

  6. Hirzebruch, F.: Differentiable Manifolds and Quadratic Forms. Department of Mathematics, University of California, Berkeley 1962.

    Google Scholar 

  7. Hirzebruch, F.: The Hilbert modular group, resolution of the singularities at the cusps and related problems. Sem. N. Bourbaki, Exp. 396 (1970/71).

  8. Hirzebruch, F.: The Hilbert modular group and some algebraic surfaces. (To appear).

  9. Laufer, H.: Normal Two-dimensional Singularities. Ann. Math. Studies 71, Princeton, N.J.: Princeton University Press 1971.

    Google Scholar 

  10. Laufer, H.: Deformations of resolutions of two-dimensional singularities. Proc. of Rice Conference on Complex Analysis 1972. (To appear).

  11. Mumford, D.: The topology of normal singularities of an algebraic surface and a criterion for simplicity. Inst. des Hautes Etudes Scientifiques. Publ. Math., No.9, 5–22 (1961).

    Google Scholar 

  12. Tjurina, G.: The rigidity of rationally contractible curves on a surface (Russian) Izv. Akad. Nauk. SSSR Ser. Mat.32, 943–970 (1968).

    Google Scholar 

  13. Wagreich, P.: Elliptic singularities of surfaces. Amer. J. Math.92, 419–454 (1970).

    Google Scholar 

  14. Wagreich, P.: Singularities of complex surfaces with solvable local fundamental group. Topology11, 51–72 (1972).

    Google Scholar 

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Laufer, H.B. Taut two-dimensional singularities. Math. Ann. 205, 131–164 (1973). https://doi.org/10.1007/BF01350842

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