2026-04-14T06:33:41Zhttps://recercat.cat/oai/request

oai:recercat.cat:2117/1010472026-02-04T06:49:44Zcom_2072_1033col_2072_452950

Determining plane curve singularities from its polars González Alonso, Víctor Alberich Carramiñana, Maria Universitat Politècnica de Catalunya. Departament de Matemàtiques Universitat Politècnica de Catalunya. GEOMVAP - Geometria de Varietats i Aplicacions Àrees temàtiques de la UPC::Matemàtiques i estadística Curves, Plane Geometry, Algebraic Enriques diagram Equisingularity Germ of plane curve Polar Topological equivalence Corbes planes Geometria algebraica This paper addresses a very classical topic that goes back at least to Plücker: how to understand a plane curve singularity using its polar curves. Here, we explicitly construct the singular points of a plane curve singularity directly from the weighted cluster of base points of its polars. In particular, we determine the equisingularity class (or topological equivalence class) of a germ of plane curve from the equisingularity class of generic polars and combinatorial data about the non-singular points shared by them. Peer Reviewed Postprint (author's final draft) 2016-01-10 Article González-Alonso, V., Alberich, M. Determining plane curve singularities from its polars. "Advances in mathematics", 10 Gener 2016, vol. 287, p. 788. 0001-8708 https://hdl.handle.net/2117/101047 10.1016/j.aim.2015.10.011 eng http://www.sciencedirect.com/science/article/pii/S0001870815004302 http://creativecommons.org/licenses/by-nc-nd/3.0/es/ Open Access 1 p. application/pdf