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On the intersection multiplicity of analytic curves in \(\mathbb{C}^m\). (English) Zbl 0901.32009

The authors give an effective formula for the isolated intersection multiplicity of analytic curves in \(\mathbb{C}^m\) in terms of their parametrizations, generalizing the classical Zeuthen’s formula for plane curves. As an application they obtain an estimation of the Lojasiewicz exponent.

MSC:

32B99 Local analytic geometry
32C99 Analytic spaces
14C17 Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry
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