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

Chądzyński, Jacek; Krasiński, Tadeusz; Tworzewski, Piotr

Bull. Pol. Acad. Sci., Math. 45, No. 2, 163-169 (1997).

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.

Reviewer: Vasile Brînzănescu (Bucureşti)

MSC:

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

Keywords:

isolated intersection multiplicity; analytic curves; estimation; Lojasiewicz exponent