Literature Cited
V. I. Arnol'd, "Normal forms of functions close to degenerate critical points, the Weyl groups Ak, Dk, Ek, and Lagrangian singularities," Funkts. Anal. Prilozhen.,6, No. 4, 3–25 (1972).
V. I. Arnol'd, "Critical points of smooth functions and their normal forms," Usp. Mat. Nauk,30, No. 5, 3–65 (1975).
V. I. Arnol'd, "Critical points of functions on manifolds with boundary, simple Lie groups Bk, Ck, F4, and singularities of evolutes," Usp. Mat. Nauk,33, No. 5, 91–107 (1978).
V. I. Arnol'd, "Wave fronts evolution and equivariant Morse lemma," Commun. Pure Appl. Math.,29, No. 6, 557–582 (1976).
V. I. Arnol'd, "Indices of singular points of 1-forms on manifolds with boundary, displacement of invariants of groups generated by reflections, and singular projections of smooth surfaces," Usp. Mat. Nauk,34, No. 2, 3–38 (1979).
O. V. Lyashko, "Geometry of bifurcation diagrams," Usp. Mat. Nauk,34, No. 3, 205–206 (1979).
M. Giusti, "Classification des singularites isolees simples d'intersections completes," Preprint, École Polytechnique (1977).
M. Giusti, "Classification des singularites isolees d'intersections completes simples," C. R. Acad. Sci. Paris,284 (17 Jan. 1977), pp. 167–170.
E. Looijenga, "The complement of the bifurcation variety of a simple singularity," Invent. Math.,32, 105–116 (1974).
Additional information
Moscow State University. Translated from Funktsional'nyi Analiz i Ego Prilozheniya, Vol. 15, No. 2, pp. 1–8, April–June, 1981.
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Goryunov, V.V. Geometry of bifurcation diagrams of simple projections onto the line. Funct Anal Its Appl 15, 77–82 (1981). https://doi.org/10.1007/BF01082278
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DOI: https://doi.org/10.1007/BF01082278