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Constructing quotients of algebraic varieties by linear algebraic group actions

Abstract:

In this article we review the question of constructing geometric quotients of actions of linear algebraic groups on irreducible varieties over algebraically closed fields of characteristic zero, in the spirit of Mumford’s geometric invariant theory (GIT). The article surveys some recent work on geometric invariant theory and quotients of varieties by linear algebraic group actions, as well as background material on linear algebraic groups, Mumford’s GIT and some of the challenges that the ...

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Publication status:
Published
Peer review status:
Not peer reviewed

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Oxford college:
Balliol College
Role:
Author
Publisher:
International Press of Boston, Inc. Publisher's website
Pages:
341-446
Series:
Advanced Lectures in Mathematics
Host title:
Handbook of Group Actions, Volume IV
Publication date:
2018-11-16
Source identifiers:
659958
ISBN-10:
1571463658
ISBN-13:
9781571463654
Keywords:
Pubs id:
pubs:659958
UUID:
uuid:f03528cb-6940-4cb7-ae10-a41aeae809c1
Local pid:
pubs:659958
Deposit date:
2016-11-17

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