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Holomorphic Dynamics pp 192–232Cite as

Algebraic solutions of polynomial differential equations and foliations in dimension two

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1345))

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References

  1. P. Griffiths & J. Harris-Principles of Algebraic Geometry, Wiley-Interscience, New York, 1978.

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  2. Peter Orlik-The Multiplicity of a Holomorphic Map at an Isolated Critical Point, Real and Complex Singularities, Proc. ninth Nordic Summer School/NAVF Sympos. Math., Oslo (1976) pp. 405–474.

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  3. C. Camacho & P. Sad-Invariant Varieties through Singularities of Holomorphic Vector Fields, Ann. of Math., 115 (1982) pp. 579–595.

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  5. A. Lins Neto-Construction of Singular Holomorphic Vector Fields and Foliations in Dimension Two, to appear in the Journal of Diff. Geometry.

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  7. H.B. Laufer-Normal Two-Dimensional Singularities, Princeton University Press and University of Tokyo Press, Princeton 1971.

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  9. V. Arnold-Chapitres Supplémentaires de la Théorie des Équations Differentielles Ordinaires, Edt. MIR, Moscow (1980).

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Authors and Affiliations

  1. Instituto de Matemática Pura e Aplicada, Estrada Dona Castorina 110, CEP 22460, Rio de Janeiro, RJ, Brasil

    Alcides Lins Neto

Authors
  1. Alcides Lins Neto
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Xavier Gomez-Mont José A. Seade Alberto Verjovski

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© 1988 Springer-Verlag

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Neto, A.L. (1988). Algebraic solutions of polynomial differential equations and foliations in dimension two. 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/BFb0081403

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  • DOI: https://doi.org/10.1007/BFb0081403

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50226-5

  • Online ISBN: 978-3-540-45957-6

  • eBook Packages: Springer Book Archive

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