A general Hilbert-Mumford criterion

Hausen, Jürgen

doi:10.5802/aif.1956

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

Hausen, Jürgen ¹

¹ Universität Konstanz, Fachbereich Mathematik und Statistik, Universitätstrasse 10, 78457 Konstanz (Allemagne)

Annales de l'Institut Fourier, Tome 53 (2003) no. 3, pp. 701-712.

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 $G$ .

MR Zbl

DOI : 10.5802/aif.1956

Classification : 14L24, 14L30
Keywords: reductive group actions, good quotients
Mot clés : actions des groupes réductifs, bons quotients

Affiliations des auteurs :

Hausen, Jürgen ¹

¹ Universität Konstanz, Fachbereich Mathematik und Statistik, Universitätstrasse 10, 78457 Konstanz (Allemagne)

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     title = {A general {Hilbert-Mumford} criterion},
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     publisher = {Association des Annales de l{\textquoteright}institut Fourier},
     volume = {53},
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     year = {2003},
     doi = {10.5802/aif.1956},
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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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