Skip to main content
SpringerLink
Log in

On the Gauss-Manin connection of an isolated hypersurface singularity

  • Published:
Mathematische Annalen Aims and scope Submit manuscript

    We’re sorry, something doesn't seem to be working properly.

    Please try refreshing the page. If that doesn't work, please contact support so we can address the problem.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Arnol'd, V.I.: Critical points of smooth functions and their normal forms. Russ. Math. Surveys30, 1–75 (1975); Uspekhi Mat. Nauk.30, 3–65 (1975)

    Google Scholar 

  2. Brieskorn, E.V.: Die Monodromie der isolierten Singularitäten von Hyperflächen. Manuscripta Math.2, 103–161 (1970)

    Google Scholar 

  3. Briançon, J., Skoda, H.: Sur la clôture intégrale d'un idéale de germes de fonctions holomorphes en un point deC n. C.R. Acad. Sci. (Paris)278, 949 (1974)

    Google Scholar 

  4. A'Campo, N.: Sur la monodromie des singularités isolées d'hypersurfaces complexes. Invent. Math.20, 147–169

  5. Deligne, P.: Equations différentielles à points singuliers réguliers. Lecture Notes in Mathematics, Vol. 163. Berlin-Heidelberg-New York: Springer 1970

    Google Scholar 

  6. Gérard, R., Levelt, A.H.M.: Invariants mesurant l'irrégularité en un point singulier des systèmes d'équations différentielles linéaires. Ann. Inst. Fourier (Grenoble)23, 157–195 (1973)

    Google Scholar 

  7. Grauert, H.: Analytische Faserungen über holomorph-vollständigen Räumen. Math. Ann.135, 263–273 (1958)

    Google Scholar 

  8. Hermann, G.: Die Frage der endlich vielen Schritte in der Theorie der Polynomideale. Math. Ann.95, 736–788 (1926)

    Google Scholar 

  9. Katz, N.M.: The regularity theorem in algebraic geometry. Actes Congrès intern. math.1, 437–443 (1970)

    Google Scholar 

  10. Le Dung Tráng, Ramanujam, C.P.: The invariance of Milnor's number implies the invariance of the topological type. Amer. J. Math.98, 67–68 (1976)

    Google Scholar 

  11. Malgrange, B.: Intégrales asymptotiques et monodromie. Ann. Sce. Ecole Norm. Sup. (4)7, 405–430 (1974)

    Google Scholar 

  12. Malgrange, B.: Le polynome de Bernstein d'une singularité isolée. Lecture Notes in Mathematics 459, pp. 98–119 (1974)

  13. Malgrange, B.: Letter to the editors. Invent. Math.20, 171–172 (1973)

    Google Scholar 

  14. Milnor, J.: Singular points of complex hypersurfaces. Ann. Math. Stud.61, 1968

  15. Saito, K.: Quasihomogene isolierte Singularitäten von Hyperflächen. Invent. Math.14, 123–142 (1971)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Mathematisches Institut der Universität, Wegelerstr. 10, D-5300, Bonn, Federal Republic of Germany

    J. Scherk

Authors
  1. J. Scherk
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Scherk, J. On the Gauss-Manin connection of an isolated hypersurface singularity. Math. Ann. 238, 23–32 (1978). https://doi.org/10.1007/BF01351450

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01351450

Keywords

Search

Navigation