Multiplicity and the Łojasiewicz exponent

• Autorzy: S. Spodzieja
• Języki publikacji: EN

Abstrakty

EN

We give a formula for the multiplicity of a holomorphic mapping $f: ℂ^{n} ⊃ Ω → ℂ^{m}$, m > n, at an isolated zero, in terms of the degree of an analytic set at a point and the degree of a branched covering. We show that calculations of this multiplicity can be reduced to the case when m = n. We obtain an analogous result for the local Łojasiewicz exponent.

Słowa kluczowe

EN

local Łojasiewicz exponent; holomorphic mapping; multiplicity

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2000
• Tom: 73
• Numer: 3
• Strony: 257-267

Daty

wydano

2000

otrzymano

1999-04-30

poprawiono

2000-01-30

Twórcy

autor

S. Spodzieja

• Faculty of Mathematics, University of Łódź, S. Banacha 22, 90-238 Łódź, Poland

Bibliografia

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