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On the vanishing order of a holomorphic germ along a complex analytic germ in ℂn

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Complex Analysis and Geometry

Part of the book series: Progress in Mathematics ((PM,volume 188))

Abstract

The following is a summary of some results which I obtained in the course of studying the higher dimensional analogue of a certain equality stated as formula (3) below. This equality was used by D’Angelo ([3a]—[3c]) in connection with the problem of proving the local boundedness of the 1-type. For complete proofs of the propositions stated below the reader is referred to [4]. I thank the organizers of the conference in honour of the 85th birthday of Prof. Pierre Lelong for that they had given me the opportunity of giving a lecture.

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Hiller, U. (2000). On the vanishing order of a holomorphic germ along a complex analytic germ in ℂn . In: Dolbeault, P., Iordan, A., Henkin, G., Skoda, H., Trépreau, JM. (eds) Complex Analysis and Geometry. Progress in Mathematics, vol 188. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8436-5_8

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  • DOI: https://doi.org/10.1007/978-3-0348-8436-5_8

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9566-8

  • Online ISBN: 978-3-0348-8436-5

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