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Produktzerlegung und Äquivalenz von Raumkeimen II Der komplexe Fall

  • Cabiria Andreian Cazacu
  • Nicu Boboc
  • Martin Jurchescu
  • Ion Suciu
III Section — Several Complex Variables
Part of the Lecture Notes in Mathematics book series (LNM, volume 1014)

Abstract

As an application of [17], [18], [19] we generalise Ephraims C-classification of irreducible complex-analytic germs in [4], [5], [6].

Keywords

Complex Analytic Variety 
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Literatur

  1. [1]
    Campo, N.A': Le nombre de Lefschetz d'une monodromie Indag. Math. 35 (1973), 113–118MathSciNetGoogle Scholar
  2. [2]
    Becker, J.: Ck weakly holomorphic functions on an analytic set. Prov. Amer. Math. Soc. 39 (1973), 89–93Google Scholar
  3. [3]
    Becker, J.: Ck and analytic equivalence of complex analytic varieties. Math. Ann. 225 (1977), 57–67MathSciNetCrossRefzbMATHGoogle Scholar
  4. [4]
    Bloom, T.: C1-functions on a complex analytic variety. Duke Math. J. 36 (1969), 283–296MathSciNetCrossRefzbMATHGoogle Scholar
  5. [5]
    Cartan, H.: Variétés analytiques réelles et variétés analytiques complex. Bull. Soc. Math. France 85 (1957), 77–99MathSciNetzbMATHGoogle Scholar
  6. [6]
    Ephraim, R.: C and analytic equivalence of singularities Proc. of Conf. of Complex Anal. (1972), Rice Univ StudiesGoogle Scholar
  7. [7]
    Ephraim, R.: The cartesian product structure of singularities Trans. Amer. Math. Soc. 224 (1976), 299–311MathSciNetzbMATHGoogle Scholar
  8. [8]
    Ephraim, R.: Cartesian product structure of singularities Proc. of Sym. in pure Math. 30 (1977), 21–23MathSciNetCrossRefzbMATHGoogle Scholar
  9. [9]
    Gottschling, E.: Invarianten endlicher Gruppen und biholomorphe Abbildungen. Inv.Math. 6 (1969), 315–326MathSciNetCrossRefzbMATHGoogle Scholar
  10. [10]
    Milnor, J.: Singular points of complex hypersurfaces. Annales of Math. Studies No. 61, New York Princeton University Press 1968Google Scholar
  11. [11]
    Mumford, D.: The topology of normal singularities of an algebraic surface and a criterion for simplicity. IHES No. 9 (1961), 5–22Google Scholar
  12. [12]
    Prill, D.: Local classification of quotients of complex manifolds. Duke Math. Journ. 34 (1967), 375–386MathSciNetCrossRefzbMATHGoogle Scholar
  13. [13]
    Reichard, K.: C-Diffeomorphismen semi-und subanalytischer Mengen. Erscheint in Composito Mathematica, 1981Google Scholar
  14. [14]
    Reichard, K.: Lokale Klassifikation von Quotientensingularitäten reeller Mannigfaltigkeiten nach diskreten Gruppen. Preprint BochumGoogle Scholar
  15. [15]
    Reichard, K.: Produktzerlegung von Quotientens ingularitäten preprint BochumGoogle Scholar
  16. [16]
    Spallek, K.: Über Singularitäten analytischer Mengen. Math. Ann. 172 (1967), 249–268MathSciNetCrossRefzbMATHGoogle Scholar
  17. [17]
    Spallek, K.: L-platte Funktionen auf semianalytischen Mengen. Math. Ann. 227 (1977), 266–277MathSciNetCrossRefzbMATHGoogle Scholar
  18. [18]
    Spallek, K.: Geometrische Bedingungen für die Integrabilität von Vektorfeldern auf Teilmengen im Rn. manuscripta math. 25 (1978), 147–160MathSciNetCrossRefzbMATHGoogle Scholar
  19. [19]
    Spallek, K.: Produktzerlegung und Äquivalenz von Raumkeimen IGoogle Scholar
  20. [20]
    Strub, G.: Vollständige Klassifikation der Singularitäten von Quotienten von unendlich oft reell-differenzierbaren Mannigfaltigkeiten nach eigentlich diskontinuierlichen Gruppen. Dissertation, Mainz 1980Google Scholar
  21. [21]
    Wavrik, J.J.: A theorem on solutions of analytic equations with applications to deformations of complex structures. Math. Ann. 216 (1975), 127–142MathSciNetCrossRefzbMATHGoogle Scholar

Copyright information

© Springer-Verlag 1983

Authors and Affiliations

  • Cabiria Andreian Cazacu
  • Nicu Boboc
  • Martin Jurchescu
  • Ion Suciu

There are no affiliations available

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