A general Hilbert-Mumford criterion
[Un critère de Hilbert-Mumford général]
Annales de l'Institut Fourier, Tome 53 (2003) no. 3, pp. 701-712.

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 VX 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 VX admitting a good quotient by G.

DOI : 10.5802/aif.1956
Classification : 14L24, 14L30
Keywords: reductive group actions, good quotients
Mot clés : actions des groupes réductifs, bons quotients
Hausen, Jürgen 1

1 Universität Konstanz, Fachbereich Mathematik und Statistik, Universitätstrasse 10, 78457 Konstanz (Allemagne)
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Hausen, Jürgen. A general Hilbert-Mumford criterion. Annales de l'Institut Fourier, Tome 53 (2003) no. 3, pp. 701-712. doi : 10.5802/aif.1956. http://www.numdam.org/articles/10.5802/aif.1956/

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