Distinguished deformations of isolated singularities of plane curves

  • Bernd Martin
  • Gerhard Pfister
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 1056)


Plane Curf Artin Ring Newton Polygon Milnor Number Plane Curve Singularity 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    V.I. Arnold, On some problems in singularity theory, Proc.Indian Acad.Sc.90(1), 1–9(1981)MathSciNetzbMATHGoogle Scholar
  2. 2.
    J.Briançon, Contribution à l'Etude des Déformations de Germes de Sous-Espaces Analytiques de Cn, Thése Nice 1976Google Scholar
  3. 3.
    A.G. Kouchnirenko, Polyedres de Newton et nombres de Milnor, Invent.Math. 32, 1–31 (1976)MathSciNetCrossRefzbMATHGoogle Scholar
  4. 4.
    A. Nobile, On certain numbers associated to isolated critical points, Math.Z.177, 503–517 (1981)MathSciNetCrossRefzbMATHGoogle Scholar
  5. 5.
    B.Martin, On distinguished deformations of plane curve singularities, Preprint Berlin 1983Google Scholar
  6. 6.
    M.Oka, On stability of the Newton boundary, Preprint Arcata 1982Google Scholar
  7. 7.
    J. Wahl, Equisingular deformations of plane algebroid curves, Trans. AMS 193, 143–170 (1974)MathSciNetCrossRefzbMATHGoogle Scholar
  8. 8.
    A.N. Gabrielov, A.G. Koushnirenko, Description of the deformations with constant Milnor number for homogeneous functions (In Russian), Funkt.Anal.Pril.9/4, 67–68 (1975).Google Scholar
  9. 9.
    A.N. Varchenko-Evaluation of the codimension of the μ-constant stratum by the mixed Hodge Structure (In Russian) Vesnik MGU 6, 28–31 (1982).MathSciNetGoogle Scholar

Copyright information

© Springer-Verlag 1984

Authors and Affiliations

  • Bernd Martin
    • 1
  • Gerhard Pfister
    • 1
  1. 1.Bernd Martin and Gerhard PfisterHumboldt-Universität zu Berlin Sektion MathematikBerlinDDR

Personalised recommendations