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Arnold, V.I.: Critical points of smooth functions. In: The Vancouver International Congress of mathematicians 1974
Demazure, M.: Sousgroupes algébriques de rang maximum du group de Cremona. Annales Sc. de l'E.N.S., 4-e serie, t.3, fasc4, 507–588 (1970)
Gabrielov, A.M.: Bifurcations, Dynkin diagrams and the modules numbers of isolated singularities. Funct. Anal. and appl.8, N2 7–13 (1974)
Arnold, V. I.: Normal forms of functions near degenerate critical points, Weyl groupsA k ,D k ,E k and lagrange singularities. Funct. Anal. and appl.6, N4 254–272 (1972)
Arnold, V.I.: Classification of unimodular critical points of functions. Funct. Anal. and appl.7, N3 75–76 (1973)
Dolgatchev, I.V.: Factor conical singularities of complex surfaces. Funct. Anal. and appl.8, N2 75–76 (1974)
Koulikov, V.S.: On some singularities of surfaces. Funct. Anal. and appl.9, N1 72–73 (1975)
Arnold, V.I.: Normal forms of functions in the neighbourhoods of degenerate critical points. Russian Math. surveys29, N2 11–49 (1974)
Newton, I.: La méthode des fluxions., trad. Buffon. Paris: Debure l'Ainé 1740
Klein, F.: Vorlesungen über die Entwicklung der Mathematik im 19 Jahrhundert. Berlin: Springer 1926
Poincaré, H.: Sur les formes cubiques ternaires et quaternaires. J. Ecole Polytechn.50, 199–253 (1881)
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Arnold, V.I. Local normal forms of functions. Invent Math 35, 87–109 (1976). https://doi.org/10.1007/BF01390134
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DOI: https://doi.org/10.1007/BF01390134