Publication
Determining plane curve singularities from its polars
Journal Article (2016)
Journal
Advances in Mathematics
Pages
788-822
Volume
287
Number
1
Doc link
http://dx.doi.org/10.1016/j.aim.2015.10.011
File
Authors
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Alberich Carramiñana, Maria
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González, Víctor
Abstract
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.
Categories
pattern recognition.
Author keywords
Germ of plane curve; Polar; Equisingularity; Topological equivalence; Enriques diagram
Scientific reference
M. Alberich-Carramiñana and V. González-Alonso. Determining plane curve singularities from its polars. Advances in Mathematics , 287(1): 788-822, 2016.
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