Gwoździewicz, Janusz; Lenarcik, Andrzej; Płoski, Arkadiusz Polar invariants of plane curve singularities: intersection theoretical approach. (English) Zbl 1202.14026 Demonstr. Math. 43, No. 2, 303-323 (2010). The polar invariants (also called polar quotients) of isolated hypersurface singularities are, by definition, the contact orders between the hypersurface and the branches of its generic polar curve. For this type of hypersurfaces, its Teissier collection \(\{(q, m_q)\}\), \(q\) being the polar invariants and \(m_q\) its multiplicities, constitutes an analytic invariant. In this paper, the authors provide an overview of a number of recent results on the polar invariants of plane curve singularities that complete the well-known classical results on this subject. The authors collect their own results and others with Garcia-Barroso, being the most interesting facts the use of Newton diagrams and some applications to pencils of plane curve singularities. Reviewer: Carlos Galindo (Castellon) Cited in 4 Documents MSC: 14H20 Singularities of curves, local rings 32S55 Milnor fibration; relations with knot theory 14H50 Plane and space curves Keywords:plane curve singularity; polar invariant; Jacobian Newton polygon; pencil of plane curve singularities PDFBibTeX XMLCite \textit{J. Gwoździewicz} et al., Demonstr. Math. 43, No. 2, 303--323 (2010; Zbl 1202.14026) Full Text: arXiv