Multiplicity and the Łojasiewicz exponent

Volume 73 / 2000

S. Spodzieja Annales Polonici Mathematici 73 (2000), 257-267 DOI: 10.4064/ap-73-3-257-267

Abstract

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.

Authors

  • S. Spodzieja

Search for IMPAN publications

Query phrase too short. Type at least 4 characters.

Rewrite code from the image

Reload image

Reload image