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Sur un critere d’equisingularite

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Fonctions de Plusieurs Variables Complexes

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 409))

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Bibliographie

  1. S. Abhyankhar, Local Analytic Geometry, Academic Press.

    Google Scholar 

  2. J.W. Alexander, Topological invariants of Knots and Links, Trans. Amer. Math. Soc., 30 (1928) p. 275–306.

    Article  MathSciNet  MATH  Google Scholar 

  3. A. Andreotti et T. Frankel, The Lefschetz theorem on hyperplane sections, Annals of Math, 69 (1959), p. 713–717.

    Article  MathSciNet  MATH  Google Scholar 

  4. K. Brauner, Zur Geometrie der Funktionen Zweier komplexen veränderlichen, III, IV, Abh. Math. Sem. Hamburg, 6 (1928), p. 8–54.

    Article  Google Scholar 

  5. E. Brieskorn, Singularitäten von Hyperflächen, notes miméographiées (Bonn).

    Google Scholar 

  6. W. Burau, Kennzeichnung der Schlauchknoten, Abh. Sem. Hamburg, 9(1932) p. 125–133.

    Article  MathSciNet  MATH  Google Scholar 

  7. W. Burau, Kennzeichnung der Schlauch verkettungen, vol. 10 (1934), p. 285–397

    MathSciNet  Google Scholar 

  8. M. Eichler, Introduction to the theory of Algebraic numbers and functions, Academic Press.

    Google Scholar 

  9. R. Fox, R. Crowel, Introduction to knot theory, Blaisdell Pul. Co.

    Google Scholar 

  10. H. Hamm, Die Topologie isolierter Singularitäten von vollständigen Durchsnitten komplexer hyperflächen, Notes miméographiées, Thèse (Bonn).

    Google Scholar 

  11. E. Kähler, Uber die Verzweigung einer algebraischen Funktion Zweier Veränderlichen in der Umgebung einer singulären Stellen, Math. Zeit., 30 (1929), p. 188–204.

    Article  MATH  Google Scholar 

  12. S. Lang, Algebra, Addison-Wesley.

    Google Scholar 

  13. Lê Dung Trang, Singularités isolées des hypersurfaces complexes, Pub. du Centre de Math. de l’Ecole Polytechnique, 1969.

    Google Scholar 

  14. Lê Dung Trang, Singularités isolées des intersections complètes, Séminaire du professeur Shih, I.H.E.S., Bures 1970.

    Google Scholar 

  15. Lê Dung Trang, Sur μ constant, Communication au ler congrès des mathématiciens vietnamiens, Hanoî 1970 (Vietnam).

    Google Scholar 

  16. Lê Dung Trang, Sur un critère d’équisingularité, Note à paraître aux Comptes-Rendus de l’Acad. des Sc., Janvier 1971.

    Google Scholar 

  17. Lê Dung Trang, Deux noeuds FM-équivalents sont égaux, Note à paraître aux Comptes-Rendus de l’Acad. des Sc., Janvier 1971.

    Google Scholar 

  18. M. Lejeune, Lê Dung Trang, B. Teissier, Sur un critère d’équisingularité, Notes aux Comptes Rendus de l’Acad. des Sc., Décembre 1970.

    Google Scholar 

  19. S. Lefschetz, Algebraic Geometry, Princeton Univ. Press.

    Google Scholar 

  20. J. Milnor, Topology from differentiable viewpoint, Univ. Virginia Press, 1965.

    Google Scholar 

  21. J. Milnor, Morse theory, Annals of Math. Sutdy No 51, Princeton University Press, 1963.

    Google Scholar 

  22. J. Milnor, Singularities of complex hypersurfaces, Annals of Math. Stud. No 61, Princeton University Press, 1969.

    Google Scholar 

  23. F. Pham, Cours de 3e cycle, 1969/1970, à paraître aux Pub. du Centre de Maths de l’Ecole Polytechnique.

    Google Scholar 

  24. J. Reeve, A summary of results in the topological classification of plane algebroid singularities, Rendiconti Sem. Mat. Torino, 14 (1954–1955) p. 159–187.

    MathSciNet  Google Scholar 

  25. H. Seifert, W. Threllfall Lehrbuch der Topologie, Chelsea Pub. Co.

    Google Scholar 

  26. R. Thom, Ensembles et Morphismes stratifiés, Bull. Amer. Math. Soc., Vol. 75, 1969, p. 240–284.

    Article  MathSciNet  MATH  Google Scholar 

  27. G. Tiourina, Sur les propriétés topologiques des singularités isolées des espaces complexes de codimension 1 (en russe), Isvestia akademii Naouk SSSR, Séria Matématitchesskaia 32 (1968), p. 605–620.

    Google Scholar 

  28. A. Wallace, Differential Topology (first steps), Benjamin.

    Google Scholar 

  29. H. Whitney, Elementary properties of real algebraic varieties, Annals of Math., 66 (1957) p. 545–556.

    Article  MathSciNet  MATH  Google Scholar 

  30. O. Zariski, On the topology of algebroid singularities, Amer. J. Math., 54 (1932) p. 453–465.

    Article  MathSciNet  MATH  Google Scholar 

  31. O. Zariski, Algebraic surfaces, Dover.

    Google Scholar 

  32. O. Zariski, Studies in equisingularity I. Equivalent singularities of plane algebroid curves, Amer. Jour. of Math., vol. 87 (1965), p. 507–536.

    Article  MathSciNet  MATH  Google Scholar 

  33. O. Zariski, Studies in equisingularity II. Equisingularity in codimension 1 (and characteristic zero), American Journal of Mathematics, vol. 87 (1965) p. 972–1006.

    Article  MathSciNet  MATH  Google Scholar 

  34. O. Zariski, Studies in equisingularity III, Saturation of local rings and équisingularity. American Journal of Mathematics, vol. 90 (1968) p. 961–1023.

    Article  MathSciNet  MATH  Google Scholar 

  35. P. Samuel, O. Zariski, Commutative Algebra, Van Nostrand.

    Google Scholar 

  36. Séminaire de G. de Rahm, S. Maumary, M.A. Kervaire, Torsion et Type simple d’homotopie, Lectures Notes in Math. 48 (1967), Springer-Verlag.

    Google Scholar 

  37. C. Houzel, Exposé 18 du Séminaire Cartan 1960/1961, Familles d’espaces complexes, Notes polycopiées à l’I.H.P., 11, rue Pierre Curie, Paris V.

    Google Scholar 

  38. A. Grothendieck, Elements de géométrie algébrique en plusieurs volumes, Presses Univ. de France.

    Google Scholar 

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Authors
  1. Le Dung Trang
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François Norguet

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© 1974 Springer-Verlag

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Trang, L.D. (1974). Sur un critere d’equisingularite. In: Norguet, F. (eds) Fonctions de Plusieurs Variables Complexes. Lecture Notes in Mathematics, vol 409. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0068096

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  • DOI: https://doi.org/10.1007/BFb0068096

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06856-3

  • Online ISBN: 978-3-540-37814-3

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