Multiplicity and the Łojasiewicz exponent
Spodzieja, S.
Annales Polonici Mathematici, Tome 75 (2000), p. 257-267 / Harvested from The Polish Digital Mathematics Library
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We give a formula for the multiplicity of a holomorphic mapping f:ℂn⊃Ω→ℂm, 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.

Publié le : 2000-01-01
EUDML-ID : urn:eudml:doc:262772 
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     year = {2000},
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Spodzieja, S. Multiplicity and the Łojasiewicz exponent. Annales Polonici Mathematici, Tome 75 (2000) pp. 257-267. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv73z3p257bwm/

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