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Dicriticalness of a singular foliation

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References

  • AHV AROCA-HIRONAKA-VICENTE. "Infinitely near singular points. The theory of maximal contact. Desingularization Theorems". Mem. Mat. Inst. Jorge Juan no 28,29,30. (1974).

    Google Scholar 

  • AU AUTONNE. "Sur d'equation différentielle du premier ordre". J. Ecole Polytechnique c. 63,64, 1983.

    Google Scholar 

  • CA CANO. "Desingularization stratefies for a three-dimensional vector field". Lecture Notes in Math. no 1259. Springer-Verlag. (1978).

    Google Scholar 

  • CA2 —. "Desingularization of plane vector fields". Transact. of the A.M.S. 296 1. (1986). 83/93.

    Google Scholar 

  • CA3 —. "Local and global results on the desingularization of three-dimensional vector fields". Colloque sur les singularités des équations différentielles. Dijon 1985. To appear in Asterisque.

    Google Scholar 

  • CLNS CAMACHO-LIMS NETO-SAD. "Topological invariants and equidensingularization for holomorphic vector fields". J. of Diff. Geom. 20. (1984) 143/174

    MATH  Google Scholar 

  • CM CERVEAU-MATTEI. "Formes holomorphes intégrables singuliéres". Asterisque 97. (1982).

    Google Scholar 

  • HI HIRONAKA. "Resolution of singularities of an algebraic variety over a field of characteristic zero". Ann. of Math. 79. (1964).

    Google Scholar 

  • JOU JOUANOLOU. "Equations de Pfaff algébriques". Lecture Notes in Math. no 708 Springer-Verlag (1979).

    Google Scholar 

  • MM MATTEI-MOUSSU. "Holononie et intégrales premières". Ann. Sci. Ec. Norm. Sup. 4o serie t.13. (1980). 469/523.

    Google Scholar 

  • OGC ORBANZ-GIRAUD-COSSART. "Desingularization of surfaces (Appendix: Bowdoin College Seminar of Hironaka)". Lecture Notes in Math no 1101. (1985).

    Google Scholar 

  • SA SAITO. "Theory of logarithmic differential forms and logarithmic vector fields". J. of Fac. Sci. Tokyo. Vo. 27. no 2. (1980).

    Google Scholar 

  • SE SEIDENBERG. "Reduction of singularities of the differential equation Ady = Bdx". Ann. J. of Math. (1968). 248/269.

    Google Scholar 

  • SG SANCHEZ-GIRALDA. "Caracterisations des variétéś permises d'une hypersurface algébrique". C.R. Ac. Sci. París. L. 285 (1977).

    Google Scholar 

  • ZA ZARISKI. "The theorem of Bertini on the variable singular points of a linear system of varieties". Trans. A.M.S., 45. (1944). pp472/542.

    MathSciNet  MATH  Google Scholar 

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Xavier Gomez-Mont José A. Seade Alberto Verjovski

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© 1988 Springer-Verlag

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Cano, F. (1988). Dicriticalness of a singular foliation. In: Gomez-Mont, X., Seade, J.A., Verjovski, A. (eds) Holomorphic Dynamics. Lecture Notes in Mathematics, vol 1345. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0081396

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  • DOI: https://doi.org/10.1007/BFb0081396

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  • Print ISBN: 978-3-540-50226-5

  • Online ISBN: 978-3-540-45957-6

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