Geodesic
Multiplicity and the Łojasiewicz exponent
Annales Polonici Mathematici, Tome 73 (2000) no. 3, pp. 257-267
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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.
DOI : 10.4064/ap-73-3-257-267
Keywords: local Łojasiewicz exponent, holomorphic mapping, multiplicity 
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S. Spodzieja. Multiplicity and the Łojasiewicz exponent. Annales Polonici Mathematici, Tome 73 (2000) no. 3, pp. 257-267. doi: 10.4064/ap-73-3-257-267

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