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Annales de l’institut Fourier
Article . 1991 . Peer-reviewed
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Annales de l’institut Fourier
Article
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zbMATH Open
Article . 1991
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https://dx.doi.org/10.5802/aif...
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Base points of polar curves

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1991 English Publisher:MathDoc/Centre MersenneJournal:Annales de l'Institut Fourier, volume 41, pages 1-10 (eissn: 1777-5310, Copyright policy )
Authors: Casas-Alvero, Eduardo;

doi: 10.5802/aif.1245

Base points of polar curves

Abstract

The base points of the system of polar curves of an irreducible algebroid plane curve with general moduli are determined. As consequences a lower bound for the Tjurina number and many continuous analytic invariants of the curve are found.

Keywords

Tjurina number, base points of the system of polar curves, algebroid plane curve, Singularities of curves, local rings, Divisors, linear systems, invertible sheaves, singularity of plane

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
5
Average
Top 10%
Average
gold