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A theorem of versality for unfoldings of complex analytic foliation singularities

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References

  1. Brieskorn, E.: Special singularities—resolution, deformation and monodromy. Notes for Summer Institute of AMS, Arcata 1974

  2. Izumiya, S.: On versality for unfoldings of smooth section germs. Preprint

  3. Kas, A., Schlessinger, M.: On the versal deformation of a complex space, with an isolated singularity. Math. Ann.196, 23–29 (1972)

    Google Scholar 

  4. Kodaira, K., Morrow, J.: Complex Manifolds. Holt, Rinehart and Winston, New York, 1971

    Google Scholar 

  5. Kodaira, K., Spencer, D.C.: A theorem of completeness for complex analytic fibre spaces. Acta Math.100, 281–294 (1958)

    Google Scholar 

  6. Malgrange, B.: Frobenius avec singularités, 1. Codimension un. Publ. Math. I.H.E.S.46, 163–173 (1976)

    Google Scholar 

  7. Malgrange, B.: Frobenius avec singularités, 2. Le cas général. Invent. Math.39, 67–89 (1977)

    Google Scholar 

  8. Mather, J.: Unpublished notes on right equivalence.

  9. Mattei, J.F., Moussu, R.: Intégrales premières d'une forme de Pfaff, analytique. Ann. Inst. Fourier28, 229–237 (1978)

    Google Scholar 

  10. Mattei, J.F., Moussu, R.: Holonomie et intégrales premières. Université de Dijon 1979

  11. Saito, K.: On a generalization of de Rham lemma. Ann. Inst. Fourier26, 165–170 (1976)

    Google Scholar 

  12. Suwa, T.: Unfoldings of complex analytic foliations, with singularities. Preprint

  13. Suwa, T.: Kupka-Reeb phenomena and universal unfoldings of certain foliation singularities. Preprint

  14. Tjurina, G.: Locally semi-universal flat deformations of isolated, singularities of complex spaces. Izv. Akad. Nauk SSSR33, 967–999 (1970)

    Google Scholar 

  15. Wasserman, G.: Stability of Unfoldings. Lecture Notes in Mathematics 393, Berlin-Heidelberg-New York: Springer 1974

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, Hokaido University, Sapporo, Japan

    Tatsuo Suwa

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  1. Tatsuo Suwa
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Partially supported by the National Science Foundation

This paper was written while I was visiting University of Illinois at Chicago Circle. I would like to express here my gratitude for their hospitality.

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Suwa, T. A theorem of versality for unfoldings of complex analytic foliation singularities. Invent Math 65, 29–48 (1981). https://doi.org/10.1007/BF01389293

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  • DOI: https://doi.org/10.1007/BF01389293

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