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On some problems in singularity theory

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References

  1. Arnold V I 1973 Remarks on stationary phase method and Coxeter number;Usp. Mat. Nauk 28: 5 17–44

    Google Scholar 

  2. Arnold V I 1978 Index of vector field singular point, Petrovski-Oleinik inequalities and mixed Hodge structures;Funkt. Analysis 12: 1 1–14

    Google Scholar 

  3. Bernstein I N 1972 Analytical continuation of generalised functions;Funkt. Analysis 6: 4 26–40

    Google Scholar 

  4. Brisgalova L N 1978 On maxima functions of families of functions;Funkt. Analysis 12: 1 66–67

    Google Scholar 

  5. Cerf J 1970 La stratification naturelle des espaces des fonctions differentiables reelles et le theoreme de la pseudo-isotopies;Institut des Hautes Etudes Sci. Publ. Math. 39 5–173

    MATH  MathSciNet  Google Scholar 

  6. Gousein-Zade S M 1977 Monodromy groups of isolated singularities of hypersurfaces;Usp. Math. Nauk 32: 2 23–65

    Google Scholar 

  7. Hamm H 1977 Genus χ y for quasi-homogeneous complete intersections;Funkt. Analysis 11: 1 87–88

    MATH  MathSciNet  Google Scholar 

  8. Harlamov V M 1978 Isotopical classes of nonsingular surfaces of degree 4 inRP 3;Funkt. Analysis 12: 1 86–87

    MathSciNet  Google Scholar 

  9. Hatcher A E 1973 Parametrisedh-cobordism theory;Ann. Inst. Fourier (Grenoble) 23: 2 61–74

    MATH  MathSciNet  Google Scholar 

  10. Ljashko O V 1976 Decompositions of simple singularities;Funkt. Analysis 10: 2 49–56

    Google Scholar 

  11. Looijenga E 1977 On the semiuniversal deformations of a simple elliptic hypersurface singularity I.Topology 16: 3 257–262

    Article  MATH  MathSciNet  Google Scholar 

  12. Malgrange B 1974 Integrales asymptotiques et monodromie;Ann. Sci. Ec. Norm. Suppl. Ser. 47: 3 405–430

    MathSciNet  Google Scholar 

  13. Pham F 1977Caustics and microfunctions (Kyoto Univ: RIMS)12 Suppl. pp. 357–366

  14. Steenbrink J H M 1976 Mixed Hodge structure on vanishing cohomology,Real and complex singularities, Oslo

  15. Steenbrink J H M 1977 Intersections form for quasi-homogeneous singularities;Compositio Math. 34 211–223

    MATH  MathSciNet  Google Scholar 

  16. Varchenko A N 1976 Newton polyhedra and estimations of oscillating integrals;Funkt. Analysis 10: 3 13–38

    MathSciNet  Google Scholar 

  17. Volodin I A 1972 Generalised Whitehead groups and pseudo-isotopies;Usp. Math. Nauk 27: 5 229–230

    MATH  MathSciNet  Google Scholar 

  18. Wagoner J B 1971 Algebraic invariants for pseudo-isotopies;Lecture Notes in Mathematics (Berlin-Heidelberg-New York: Springer)209 164–190

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, University of Moscow, 117 234, Moscow, USSR

    V Arnold

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  1. V Arnold
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Arnold, V. On some problems in singularity theory. Proc Math Sci 90, 1–9 (1981). https://doi.org/10.1007/BF02867012

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