Skip to main content

Produktzerlegung und Äquivalenz von Raumkeimen II Der komplexe Fall

  • III Section — Several Complex Variables
  • Conference paper
  • First Online:
Complex Analysis — Fifth Romanian-Finnish Seminar

Part of the book series: Lecture Notes in Mathematics ((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].

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 34.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 46.00
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

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

    Article  MathSciNet  MATH  Google Scholar 

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

    Article  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

    Article  MathSciNet  MATH  Google Scholar 

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

    Article  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

    Article  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

    Article  MathSciNet  MATH  Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

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

    Article  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

    Article  MathSciNet  MATH  Google Scholar 

Download references

Authors

Editor information

Cabiria Andreian Cazacu Nicu Boboc Martin Jurchescu Ion Suciu

Rights and permissions

Reprints and permissions

Copyright information

© 1983 Springer-Verlag

About this paper

Cite this paper

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

Download citation

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

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12683-6

  • Online ISBN: 978-3-540-38672-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics