Ciesielska, Danuta Relative tangent cone of analytic curves. (English) Zbl 0966.32004 Ann. Pol. Math. 72, No. 2, 191-195 (1999). The author considers in her note irreducible germs of analytic curves \(X\), \(Y\) in the origin of \(\mathbb{C}^m\) and compares the tangent cones \(C_0(X)\), \(C_0(Y)\) with the relative tangent cone \(C_0(X,Y)\) to \(X\), \(Y\). The tangent cones are \(C_3\)-cones in the sense of Whitney. The author proves that \(C_0(X, Y)+ C_0(X)= C_0(X,Y)\), if \(X\cap Y= \{0\}\). She applies the result to counting the multiplicity of the intersection. Reviewer: H.-J.Reiffen (Osnabrück) Cited in 1 Review MSC: 32D10 Envelopes of holomorphy 14C17 Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry Keywords:analytic curves; tangent cones PDF BibTeX XML Cite \textit{D. Ciesielska}, Ann. Pol. Math. 72, No. 2, 191--195 (1999; Zbl 0966.32004) Full Text: DOI OpenURL