Let a reductive group act on an algebraic variety . We give a Hilbert-Mumford type criterion for the construction of open -invariant subsets admitting a good quotient by .
Soit une variété algébrique munie d’une action d’un groupe réductif . On donne un critère à la Hilbert-Mumford pour la construction des ouverts -stables admettant un bon quotient par .
Keywords: reductive group actions, good quotients
Mot clés : actions des groupes réductifs, bons quotients
Hausen, Jürgen 1
@article{AIF_2003__53_3_701_0, author = {Hausen, J\"urgen}, title = {A general {Hilbert-Mumford} criterion}, journal = {Annales de l'Institut Fourier}, pages = {701--712}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {53}, number = {3}, year = {2003}, doi = {10.5802/aif.1956}, zbl = {1044.14020}, mrnumber = {2008437}, language = {en}, url = {https://aif.centre-mersenne.org/articles/10.5802/aif.1956/} }
TY - JOUR AU - Hausen, Jürgen TI - A general Hilbert-Mumford criterion JO - Annales de l'Institut Fourier PY - 2003 SP - 701 EP - 712 VL - 53 IS - 3 PB - Association des Annales de l’institut Fourier UR - https://aif.centre-mersenne.org/articles/10.5802/aif.1956/ DO - 10.5802/aif.1956 LA - en ID - AIF_2003__53_3_701_0 ER -
Hausen, Jürgen. A general Hilbert-Mumford criterion. Annales de l'Institut Fourier, Volume 53 (2003) no. 3, pp. 701-712. doi : 10.5802/aif.1956. https://aif.centre-mersenne.org/articles/10.5802/aif.1956/
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