Sur les invariants des pinceaux de formes quintiques binaires  [ On the invariants of pencils of binary quintics ]
Annales de l'Institut Fourier, Volume 54 (2004) no. 1, p. 21-51

We describe the invariant algebra of the natural action of SL 2 on pencils of binary quintic forms.

On décrit l’algèbre des invariants de l’action naturelle du groupe SL 2 sur les pinceaux de formes quintiques binaires.

DOI : https://doi.org/10.5802/aif.2009
Classification:  14L24,  14L30,  14H50,  13A50,  13H10,  13D40,  15A72
Keywords: geometric invariant theory, binary quintic forms, rational quintic, space curves, Poincaré series, Gorenstein rings 
@article{AIF_2004__54_1_21_0,
     author = {Meulien, Matthias},
     title = {Sur les invariants des pinceaux de formes quintiques binaires},
     journal = {Annales de l'Institut Fourier},
     publisher = {Association des Annales de l'institut Fourier},
     volume = {54},
     number = {1},
     year = {2004},
     pages = {21-51},
     doi = {10.5802/aif.2009},
     zbl = {1062.14060},
     mrnumber = {2069120},
     language = {fr},
     url = {http://www.numdam.org/item/AIF_2004__54_1_21_0}
}

Meulien, Matthias. Sur les invariants des pinceaux de formes quintiques binaires. Annales de l'Institut Fourier, Volume 54 (2004) no. 1, pp. 21-51. doi : 10.5802/aif.2009. http://www.numdam.org/item/AIF_2004__54_1_21_0/

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