Skip to main content
Log in

Quadratic forms and holomorphic foliations on singular surfaces

  • Published:
Mathematische Annalen Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. Bendixson, I.: Sur les points singuliers des équations differentielles. Ofv. Kangl. Vetenskaps. Akade. Förhandlinger, (Stokholm)9, 635–658 (1898)

    Google Scholar 

  2. Briot, C.A., Bouquet, J.C.: J. Éc. Polyt. Cah.36, 133 (1856)

    Google Scholar 

  3. Camacho, C., Sad, P.: Invariant varieties through singularities of holomorphic vector fields Ann. Math.115, 579–595 (1982)

    Google Scholar 

  4. Du Val, P.: On absolute and non-absolute singularities of algebraic surfaces. Rev. Fac. Sci. Univ. Istanbul, Ser. A91, 159–215 (1944)

    Google Scholar 

  5. Gomez-Mont, X.: Foliations in complex analytic spaces. The Lefschets Centennial Conference Part III. Diff. Equations, Verjovsky, A. (ed.). Contemp. Math.58, 3, 127–139 (1986)

  6. Grauert, H.: Über Modifikationen und exzeptionelle analytische Menge. Math. Ann.146, 331–368 (1962)

    Google Scholar 

  7. Gunning, R.C.: Lectures on complex analytic varieties. Finite analytic mappings. Math. Notes. Princeton: Princeton University Press 1974

    Google Scholar 

  8. Gunning, R.C., Rossi, H.: Analytic functions of several complex variables. New York: Prentice Hall 1965

    Google Scholar 

  9. Ince, E.L.: Ordinary differential euqtions, p. 297. New York: Dover 1926

    Google Scholar 

  10. Laufer, H.: Normal two dimensional singularities. Ann. Math. Stud. No. 71 (1971)

  11. Laufer, H.: Taut two dimensional singularities. Math. Ann.205, 131–164 (1973).

    Google Scholar 

  12. Lins, N.A.: Construction of singular holomorphic vector fields and foliations in dimension two. J. Differ. Geom.26, 1–31 (1987)

    Google Scholar 

  13. Moussu, R.: Les conjectures de R. Thom sur les singularités de feuilletages holomorphes Preprint

  14. Mattei, J.F., Moussu, R.: Holonomie et intégrales premières. Ann. Sci. Ec. Norm. Super, IV. Ser.13, 469–523 (1980)

    Google Scholar 

  15. Mumford, D.: The topology of normal singularities of an algebraic surface and a criterion for simplicity. Publ. Math. Inst. Hautes Etud. Sci.9, 5–22 (1961)

    Google Scholar 

  16. Narasimhan, R.: Introduction to the theory of analytic spaces (Lect. Notes Math., Vol. 25) Berlin Heidelberg New York: Springer 1966

    Google Scholar 

  17. Seidenberg, A.: Reduction of singularities of the differential equationAdY=EdX. Am. J. Math.90, 248–269 (1968)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Camacho, C. Quadratic forms and holomorphic foliations on singular surfaces. Math. Ann. 282, 177–184 (1988). https://doi.org/10.1007/BF01456970

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01456970

Keywords

Navigation