A general Hilbert-Mumford criterion

Hausen, Jürgen

A general Hilbert-Mumford criterion
[Un critère de Hilbert-Mumford général]

Hausen, Jürgen

Annales de l'Institut Fourier, Tome 53 (2003), p. 701-712 / Harvested from Numdam

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Résumé
Abstract

Soit $X$ une variété algébrique munie d’une action d’un groupe réductif $G$ . On donne un critère à la Hilbert-Mumford pour la construction des ouverts $G$ -stables $V \subset X$ admettant un bon quotient par $g$ .

Let a reductive group $G$ act on an algebraic variety $X$ . We give a Hilbert-Mumford type criterion for the construction of open $G$ -invariant subsets $V \subset X$ admitting a good quotient by $G$ .

Publié le : 2003-01-01

MR 2008437 | Zbl 1044.14020

DOI : https://doi.org/10.5802/aif.1956
Classification: 14L24, 14L30
Mots clés: actions des groupes réductifs, bons quotients

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     author = {Hausen, J\"urgen},
     title = {A general Hilbert-Mumford criterion},
     journal = {Annales de l'Institut Fourier},
     volume = {53},
     year = {2003},
     pages = {701-712},
     doi = {10.5802/aif.1956},
     mrnumber = {2008437},
     zbl = {1044.14020},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIF_2003__53_3_701_0}
}

Hausen, Jürgen. A general Hilbert-Mumford criterion. Annales de l'Institut Fourier, Tome 53 (2003) pp. 701-712. doi : 10.5802/aif.1956. http://gdmltest.u-ga.fr/item/AIF_2003__53_3_701_0/

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