In this chapter we present elements of the theory of singularities of holomorphic functions. We introduce the notions of multiplicity, stability, versal deformation, normal form and describe their main properties. We present also the beginning of the list of normal forms for singularities.

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Normal Forms of Functions

  • Henryk Żołądek

摘要

In this chapter we present elements of the theory of singularities of holomorphic functions. We introduce the notions of multiplicity, stability, versal deformation, normal form and describe their main properties. We present also the beginning of the list of normal forms for singularities.