We describe the invariant algebra of the natural action of on pencils of binary quintic forms.
On décrit l’algèbre des invariants de l’action naturelle du groupe sur les pinceaux de formes quintiques binaires.
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
@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{\textquoteright}institut Fourier}, volume = {54}, number = {1}, year = {2004}, doi = {10.5802/aif.2009}, mrnumber = {2069120}, zbl = {1062.14060}, language = {fr}, url = {http://archive.numdam.org/articles/10.5802/aif.2009/} }
TY - JOUR AU - Meulien, Matthias TI - Sur les invariants des pinceaux de formes quintiques binaires JO - Annales de l'Institut Fourier PY - 2004 SP - 21 EP - 51 VL - 54 IS - 1 PB - Association des Annales de l’institut Fourier UR - http://archive.numdam.org/articles/10.5802/aif.2009/ DO - 10.5802/aif.2009 LA - fr ID - AIF_2004__54_1_21_0 ER -
%0 Journal Article %A Meulien, Matthias %T Sur les invariants des pinceaux de formes quintiques binaires %J Annales de l'Institut Fourier %D 2004 %P 21-51 %V 54 %N 1 %I Association des Annales de l’institut Fourier %U http://archive.numdam.org/articles/10.5802/aif.2009/ %R 10.5802/aif.2009 %G fr %F 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://archive.numdam.org/articles/10.5802/aif.2009/
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