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Determining plane curve singularities from its polars

Autor
González-Alonso, V.; Alberich, M.
Tipus d'activitat
Article en revista
Revista
Advances in mathematics
Data de publicació
2016-01-10
Volum
287
Pàgina inicial
788
Pàgina final
788
DOI
https://doi.org/10.1016/j.aim.2015.10.011 Obrir en finestra nova
Repositori
http://hdl.handle.net/2117/101047 Obrir en finestra nova
URL
http://www.sciencedirect.com/science/article/pii/S0001870815004302 Obrir en finestra nova
Resum
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-singula...
Citació
González-Alonso, V., Alberich, M. Determining plane curve singularities from its polars. "Advances in mathematics", 10 Gener 2016, vol. 287, p. 788.
Paraules clau
Enriques diagram, Equisingularity, Germ of plane curve, Polar, Topological equivalence
Grup de recerca
GEOMVAP - Geometria de Varietats i Aplicacions

Participants

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