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C k and analytic equivalence of complex analytic varieties

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References

  1. Abhyankar, S., Vander Put, M.: Homomorphisms of analytic local rings. Creille's J.242, 26–60 (1970)

    Google Scholar 

  2. Artin, M.: On the solutions of analytic equations. Inven. Math.5, 277–291 (1968)

    Google Scholar 

  3. Artin, M.: Algebraic approximation of structures over complete local rings. Publ. Math. IHES36, 23–58 (1969)

    Google Scholar 

  4. Becker, J.:C k weakly holomorphic functions on an analytic set. Proc. Amer. Math. Soc.39, 89–93 (1973)

    Google Scholar 

  5. Becker, J., Polking, J.:C k weakly holomorphic functions on an analytic curve. Proceedings of the conference on complex analysis. Rice university studies59, 1–12

  6. Becker, J., Ephraim, R.: Cartesian products of analytic and complete rings. in preparation

  7. Bloom, T.:C 1 functions on a complex analytic variety. Duke Math. J.36, 283–296 (1969)

    Google Scholar 

  8. Ephraim, R.:C and analytic equivalence of singularities. Proceedings of Conference on Complex Analysis 1972, Rice

  9. Ephraim, R.: Cartesian product structure andC equivalences of singularities. Trans. Amer. Math. Soc. to appear

  10. Hironaka, H., Rossi, H.: On the equivalence of embeddings of exceptional complex spaces. Math. Ann.156, 313–333 (1964)

    Google Scholar 

  11. Hironaka, H.: On the equivalence of singularities I, p. 153–202. Conference on arithmetical algebraic geometry, Pardue 1963

  12. Malgrange, B.: Ideals of differentiable functions. Tata institute of fundamental research studies in mathematics. Oxford: Oxford University Press 1966

    Google Scholar 

  13. Milnor, J.: Singular points of complex hypersurfaces, Annals of Mathematical Studies No. 61. New York: Princeton University Press 1968

    Google Scholar 

  14. Ephraim, R.:C 1 Presentation of Multiplicity, preprint

  15. Spallek, K.: Differierbare und holomorphe Funktionen auf analytischen Mengen. Math. Ann.161, 143–162 (1965)

    Google Scholar 

  16. Spallek, K.: Über Singularitäten analytischer Mengen. Math. Ann.172, 249–268 (1967)

    Google Scholar 

  17. Spallek, K.: Differenzierbare Kurve analytischer Mengen. Math. Ann.177, 54–66 (1968)

    Google Scholar 

  18. Spallek, K.: Zum Satz von Osgood und Hartogs für analytische Moduln II. Math. Ann.182, 77–94 (1969)

    Google Scholar 

  19. Stutz, J.: Analytic sets as branched covers. Trans. Amer. Math. Soc.166, 241–259 (1972)

    Google Scholar 

  20. Tougeron, J. A.: Ideaux de functions differentiables, I. Ann. Inst. Fourier18, 177–240 (1968)

    Google Scholar 

  21. Wavrik, J. J.: A theorem on solutions of Analytic Equations with Applications to Deformations of Complex Structures. Math. Ann.216, 127–142 (1975)

    Google Scholar 

  22. Whitney, H.: Tangents to an Analytic Variety. Ann. Math.78, (1975)

  23. Zariski, O., Samuel, P.: Commutative Algebra Vols. I and II. Princeton-Toronto-London: Van Nostrand 1960

    Google Scholar 

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Becker, J. C k and analytic equivalence of complex analytic varieties. Math. Ann. 225, 57–67 (1977). https://doi.org/10.1007/BF01364891

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