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L’Enseignement Mathématique
Article . 2021 . Peer-reviewed
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zbMATH Open
Article . 2021
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Relative geometric invariant theory

Authors: Schmitt, Alexander H. W.;

Relative geometric invariant theory

Abstract

Relative geometric invariant theory is an invariant theory for equivariant projective morphisms between algebraic varieties endowed with an action of a reductive linear algebraic group. We will give brief accounts of the basic results of relative geometric invariant theory and present alternative proofs for recent results obtained by Halle, Hulek, and Zhang on the variation of quotients in relative geometric invariant theory.

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Keywords

Hilbert-Mumford criterion, Geometric invariant theory, Group actions on varieties or schemes (quotients), quotient, Stacks and moduli problems, semistability, equivariant morphism, variation of quotients and moduli spaces, relative moduli space

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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!
0
Average
Average
Average
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