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Geometry of bifurcation diagrams of simple projections onto the line

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Literature Cited

  1. 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).

    Google Scholar 

  2. V. I. Arnol'd, "Critical points of smooth functions and their normal forms," Usp. Mat. Nauk,30, No. 5, 3–65 (1975).

    Google Scholar 

  3. 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).

    Google Scholar 

  4. V. I. Arnol'd, "Wave fronts evolution and equivariant Morse lemma," Commun. Pure Appl. Math.,29, No. 6, 557–582 (1976).

    Google Scholar 

  5. 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).

    Google Scholar 

  6. O. V. Lyashko, "Geometry of bifurcation diagrams," Usp. Mat. Nauk,34, No. 3, 205–206 (1979).

    Google Scholar 

  7. M. Giusti, "Classification des singularites isolees simples d'intersections completes," Preprint, École Polytechnique (1977).

  8. M. Giusti, "Classification des singularites isolees d'intersections completes simples," C. R. Acad. Sci. Paris,284 (17 Jan. 1977), pp. 167–170.

    Google Scholar 

  9. E. Looijenga, "The complement of the bifurcation variety of a simple singularity," Invent. Math.,32, 105–116 (1974).

    Google Scholar 

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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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