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Produktzerlegung und Äquivalenz von Raumkeimen II Der komplexe Fall

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. Campo, N.A': Le nombre de Lefschetz d'une monodromie Indag. Math. 35 (1973), 113–118

    MathSciNet  Google Scholar 

  2. Becker, J.: Ck weakly holomorphic functions on an analytic set. Prov. Amer. Math. Soc. 39 (1973), 89–93

    Google Scholar 

  3. Becker, J.: Ck and analytic equivalence of complex analytic varieties. Math. Ann. 225 (1977), 57–67

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. Bloom, T.: C1-functions on a complex analytic variety. Duke Math. J. 36 (1969), 283–296

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. Cartan, H.: Variétés analytiques réelles et variétés analytiques complex. Bull. Soc. Math. France 85 (1957), 77–99

    MathSciNet  MATH  Google Scholar 

  6. Ephraim, R.: C and analytic equivalence of singularities Proc. of Conf. of Complex Anal. (1972), Rice Univ Studies

    Google Scholar 

  7. Ephraim, R.: The cartesian product structure of singularities Trans. Amer. Math. Soc. 224 (1976), 299–311

    MathSciNet  MATH  Google Scholar 

  8. Ephraim, R.: Cartesian product structure of singularities Proc. of Sym. in pure Math. 30 (1977), 21–23

    CrossRef  MathSciNet  MATH  Google Scholar 

  9. Gottschling, E.: Invarianten endlicher Gruppen und biholomorphe Abbildungen. Inv.Math. 6 (1969), 315–326

    CrossRef  MathSciNet  MATH  Google Scholar 

  10. Milnor, J.: Singular points of complex hypersurfaces. Annales of Math. Studies No. 61, New York Princeton University Press 1968

    Google Scholar 

  11. Mumford, D.: The topology of normal singularities of an algebraic surface and a criterion for simplicity. IHES No. 9 (1961), 5–22

    Google Scholar 

  12. Prill, D.: Local classification of quotients of complex manifolds. Duke Math. Journ. 34 (1967), 375–386

    CrossRef  MathSciNet  MATH  Google Scholar 

  13. Reichard, K.: C-Diffeomorphismen semi-und subanalytischer Mengen. Erscheint in Composito Mathematica, 1981

    Google Scholar 

  14. Reichard, K.: Lokale Klassifikation von Quotientensingularitäten reeller Mannigfaltigkeiten nach diskreten Gruppen. Preprint Bochum

    Google Scholar 

  15. Reichard, K.: Produktzerlegung von Quotientens ingularitäten preprint Bochum

    Google Scholar 

  16. Spallek, K.: Über Singularitäten analytischer Mengen. Math. Ann. 172 (1967), 249–268

    CrossRef  MathSciNet  MATH  Google Scholar 

  17. Spallek, K.: L-platte Funktionen auf semianalytischen Mengen. Math. Ann. 227 (1977), 266–277

    CrossRef  MathSciNet  MATH  Google Scholar 

  18. Spallek, K.: Geometrische Bedingungen für die Integrabilität von Vektorfeldern auf Teilmengen im Rn. manuscripta math. 25 (1978), 147–160

    CrossRef  MathSciNet  MATH  Google Scholar 

  19. Spallek, K.: Produktzerlegung und Äquivalenz von Raumkeimen I

    Google Scholar 

  20. Strub, G.: Vollständige Klassifikation der Singularitäten von Quotienten von unendlich oft reell-differenzierbaren Mannigfaltigkeiten nach eigentlich diskontinuierlichen Gruppen. Dissertation, Mainz 1980

    Google Scholar 

  21. Wavrik, J.J.: A theorem on solutions of analytic equations with applications to deformations of complex structures. Math. Ann. 216 (1975), 127–142

    CrossRef  MathSciNet  MATH  Google Scholar 

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© 1983 Springer-Verlag

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Cazacu, C.A., Boboc, N., Jurchescu, M., Suciu, I. (1983). Produktzerlegung und Äquivalenz von Raumkeimen II Der komplexe Fall. In: Cazacu, C.A., Boboc, N., Jurchescu, M., Suciu, I. (eds) Complex Analysis — Fifth Romanian-Finnish Seminar. Lecture Notes in Mathematics, vol 1014. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0072073

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  • DOI: https://doi.org/10.1007/BFb0072073

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  • Print ISBN: 978-3-540-12683-6

  • Online ISBN: 978-3-540-38672-8

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