On décrit l’algèbre des invariants de l’action naturelle du groupe sur les pinceaux de formes quintiques binaires.
We describe the invariant algebra of the natural action of on pencils of binary quintic forms.
Classification : 14L24, 14L30, 14H50, 13A50, 13H10, 13D40, 15A72
Mots clés : théorie géométrique des invariants, formes quintiques binaires, quintiques rationnelles gauches, séries de Poincaré, anneaux de Gorenstein
@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}, pages = {21--51}, publisher = {Association des Annales de l'institut Fourier}, volume = {54}, number = {1}, year = {2004}, doi = {10.5802/aif.2009}, zbl = {1062.14060}, mrnumber = {2069120}, language = {fr}, url = {archive.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, Tome 54 (2004) no. 1, pp. 21-51. doi : 10.5802/aif.2009. http://archive.numdam.org/item/AIF_2004__54_1_21_0/
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