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On Coxeter-Dynkin diagrams of hypersurface singularities

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Literature Cited

  1. N. A'Campo, “Le groupe de monodromie du déploiement des singularités isolées de courbes planes, I”,Math. Ann.,213, 1–32 (1975).

    Article  MATH  MathSciNet  Google Scholar 

  2. N. A'Campo, “Le groupe de monodromie du déploiement des singularités isolées de courbes planes, II”, In:Act. Cong. Int. Math. (Vancouver 1974),Canad. Math. Congress, Montreal, Vol. 1 (1975), pp. 395–404.

  3. N. A'Campo, “La fonction zêta d'une monodromie”,Comment. Math. Helv.,50, 233–248 (1975).

    MATH  MathSciNet  Google Scholar 

  4. V. I. Arnold, S. M. Gusein-Zade, and A. N. Varchenko,Singularities of Differentiable Maps, Vol. II., Birkhäuser, Boston-Basel-Berlin (1988).

    Google Scholar 

  5. E. Brieskorn,Lineare Algebra und Analytische Geometrie, Vol. III, Vieweg, Braunschweig Wiesbaden (in press).

  6. W. Ebeling, “Quadratische Formen und Monodromiegruppen von Singularitäten”,Math. Ann. 255, 463–498 (1981).

    MATH  MathSciNet  Google Scholar 

  7. W. Ebeling, “Milnor lattices and geometric bases of some special singularities”, In:Nœuds, tresses et singularités (C. Weber ed.), Enseign. Math. Monographie31, Genève (1983), pp. 129–146;Enseign. Math. 29, 263–280 (1983).

  8. A. M. Gabrielov, “Intersection matrices for certain singularities”,Funkts. Anal. Prilozhen.,7, No. 3, 18–32 (1973) (Engl. translation inFunct. Anal. Appl.,7, 182–193 (1974)).

    MATH  MathSciNet  Google Scholar 

  9. A. M. Gabrielov, “Polar curves and intersection matrices of singularities”,Invent. Math.,54, 15–22 (1979).

    Article  MATH  MathSciNet  Google Scholar 

  10. S. M. Gusein-Zade, “Intersection matrices for certain singularities of functions of two variables”,Funkts. Anal. Prilozhen. 8, No. 1, 11–15 (1974) (Engl. translation inFunct. Anal. Appl.,8, 10–13 (1974)).

    MATH  MathSciNet  Google Scholar 

  11. S. M. Gusein-Zade, “Dynkin diagrams for singularities of functions of two variables”,Funkts. Anal. Prilozhen.,8, No. 4, 22–30 (1974) (Engl. translation inFunct. Anal. Appl.,8, 295–300 (1975)).

    MathSciNet  Google Scholar 

  12. S. M. Gusein-Zade, “The monodromy groups of isolated singularities of hypersurfaces”,Usp. Mat. Nauk,32, No. 2, 23–65 (1977) (Engl. translation inRuss. Math. Surveys,32, No. 2, 23–69 (1977)).

    MATH  MathSciNet  Google Scholar 

  13. G. G. Il'yuta “On the Coxeter transformation of an isolated singularity”,Usp. Mat. Nauk,42, No. 2, 227–228 (1987) (Engl. translation inRuss. Math. Surveys,42, No. 2, 279–280 (1987)).

    MATH  MathSciNet  Google Scholar 

  14. M. Sebastiani and R. Thom, “Un résultat sur la monodromie”,Invent. Math.,13, 90–96 (1971).

    Article  MathSciNet  Google Scholar 

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Authors
  1. W. Ebeling
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Translated from Itogi Nauki i Tekhniki, Seriya Sovremenaya Matematika i Ee Prilozheniya. Tematicheskie Obzory, Vol. 20, Topologiya-3, 1994.

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Ebeling, W. On Coxeter-Dynkin diagrams of hypersurface singularities. J Math Sci 82, 3657–3664 (1996). https://doi.org/10.1007/BF02362570

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