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, pp. 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: 10.5802/aif.2009
Classification: 14L24, 14L30, 14H50, 13A50, 13H10, 13D40, 15A72
Mot clés : théorie géométrique des invariants, formes quintiques binaires, quintiques rationnelles gauches, séries de Poincaré, anneaux de Gorenstein
Keywords: geometric invariant theory, binary quintic forms, rational quintic, space curves, Poincaré series, Gorenstein rings
Meulien, Matthias 1

1 Chennai Mathematical Institute, 92 G. N. Chetty Road, Chennai 600 017 (Inde)
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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://archive.numdam.org/articles/10.5802/aif.2009/

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