no. 1
Base points of polar curves
Annales de l'Institut Fourier, Tome 41 (1991) no. 1, pp. 1-10.

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.

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.

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     author = {Casas-Alvero, Eduardo},
     title = {Base points of polar curves},
     journal = {Annales de l'Institut Fourier},
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     publisher = {Institut Fourier},
     address = {Grenoble},
     volume = {41},
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     year = {1991},
     doi = {10.5802/aif.1245},
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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. https://aif.centre-mersenne.org/articles/10.5802/aif.1245/

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[5] O. Zariski, Characterization of plane curves whose module of differentials has maximal torsion, Proc. Nat. Acad. of Science, U.S.A., 56,3 (1966), 781-786. | MR | Zbl

[6] O. Zariski, Le problème des modules pour les branches planes, Centre de Math., École Polytechnique, Paris, 1973. | MR | Zbl

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