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Stratifications de Whitney et théorème de Bertini-Sard

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Bibliographie

  1. Cheniot, D.: Une, démonstration du théorème de Zariski sur les sections hyperplanes des hypersurfaces projectives. Publication de l'Ecole Polytechnique M. 880572 (1973)

  2. Hironaka, H.: Resolution of singularities of an algebraic variety. I–II. Ann. Math.79, 109–326 (1964)

    Article  MathSciNet  Google Scholar 

  3. Hironaka, H.: Bimeromorphic smoothing of a complex analytic space (summary). Math. Inst. Warwick Univ., England (summer 1971)

  4. Hironaka, H.: Introduction to real analytic sets and real analytic maps. Istituto Matematico «L. Tonelliα dell'universita di Pisa (1973)

  5. Hironaka, H.: Subanalytic sets in number theory, algebraic geometry and commutative algebra. Volume in honour of Y. Akizuki, Kinokunya Pub. (1973)

  6. Kuo, J.C.: The ratio test for analytic Whitney stratifications. Proceedings of Liverpool singularities symposium I. Springer Verlag Lecture Notes in Math.192, 141 (1971)

    Google Scholar 

  7. Mather, J.: Notes on topological stability. Harvard University (1970)

  8. Teissier, B.: Théorèmes de finitude en géométrie analytique (d'après H. Hironaka). Séminaire Bourbaki 26e année, no. 451, (1973/74)

  9. Thom, R.: Ensembles et morphismes stratifiés. Bull. A.M.S.75(2), 240–284 (1969)

    Article  MathSciNet  MATH  Google Scholar 

  10. Varčenko, A.N.: Un théorème sur l'équisingularité des familles de variétés algébriques. Izv. Akad. Nauk. SSSR. Scr. Mat.36, 957–1019 (1972), Engl. transl. Math. USSR Izv.6, 949–1008 (1972)

    MATH  Google Scholar 

  11. Wallace, A.: Linear sections of algebraic varieties. Indiana Univ. Math. J.20, 1153–1162 (1970/71) et Ibid.24, 131–141 (1974/75)

    Article  MathSciNet  Google Scholar 

  12. Whitney, H.: Tangents to an analytic variety. Ann. Math.81(3), 496–549 (1965)

    Article  MathSciNet  Google Scholar 

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A Jean-Pierre Serre

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Verdier, JL. Stratifications de Whitney et théorème de Bertini-Sard. Invent Math 36, 295–312 (1976). https://doi.org/10.1007/BF01390015

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