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Annales de l’institut Fourier
Article . 2003 . Peer-reviewed
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Annales de l’institut Fourier
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A general Hilbert-Mumford criterion

A general Hilbert-Mumford criterion.
descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2003 English Publisher:Cellule MathDoc/Centre MersenneJournal:Annales de l'Institut Fourier, volume 53, pages 701-712 (eissn: 1777-5310, Copyright policy )
Authors: Hausen, Jürgen;

doi: 10.5802/aif.1956

A general Hilbert-Mumford criterion

Abstract

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⊂X admitting a good quotient by G.

Keywords

Homogeneous spaces and generalizations, Geometric invariant theory, Group actions on varieties or schemes (quotients), good quotients, Toric varieties, Newton polyhedra, Okounkov bodies, reductive group actions

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average
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