On the Fibers of Analytic Mappings

  • Jürgen Bingener
  • Hubert Flenner
Part of the The University Series in Mathematics book series (USMA)


Let f: XS be a morphism of complex or real spaces, and P a property of homomorphisms of local rings. Consider the set ℙ(f) of points x∈X for which the induced map of local rings O S,f(x) O X,x has property P. In this chapter we give a criterion for ℙ(f) being constructible (resp., Zariski open) in X. Moreover, we verify this criterion for a wide class of properties P.


Prime Ideal Local Ring Finite Type Noetherian Ring Fiber Property 
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Copyright information

© Springer Science+Business Media New York 1993

Authors and Affiliations

  • Jürgen Bingener
    • 1
  • Hubert Flenner
    • 2
  1. 1.Fakultät für MathematikUniversitätRegensburgGermany
  2. 2.Mathematisches InstitutGeorg-August-UniversitätGöttingenGermany

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