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.
On détermine les points-base du système des courbes polaires d’une courbe algébroïde plane irréductible à modules généraux. On en tire une borne inférieure pour le nombre de Tjurina et plusieurs invariants analytiques continus de la courbe.
@article{AIF_1991__41_1_1_0,
author = {Casas-Alvero, Eduardo},
title = {Base points of polar curves},
journal = {Annales de l'Institut Fourier},
pages = {1--10},
year = {1991},
publisher = {Institut Fourier},
address = {Grenoble},
volume = {41},
number = {1},
doi = {10.5802/aif.1245},
zbl = {0707.14024},
mrnumber = {92f:14023},
language = {en},
url = {https://aif.centre-mersenne.org/articles/10.5802/aif.1245/}
}
TY - JOUR AU - Casas-Alvero, Eduardo TI - Base points of polar curves JO - Annales de l'Institut Fourier PY - 1991 SP - 1 EP - 10 VL - 41 IS - 1 PB - Institut Fourier PP - Grenoble UR - https://aif.centre-mersenne.org/articles/10.5802/aif.1245/ DO - 10.5802/aif.1245 LA - en ID - AIF_1991__41_1_1_0 ER -
Casas-Alvero, Eduardo. Base points of polar curves. Annales de l'Institut Fourier, Tome 41 (1991) no. 1, pp. 1-10. doi: 10.5802/aif.1245
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