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Stratifying quotient stacks and moduli stacks

Abstract:
Recent results in geometric invariant theory (GIT) for non-reductive linear algebraic group actions allow us to stratify quotient stacks of the form [X∕H], where X is a projective scheme and H is a linear algebraic group with internally graded unipotent radical acting linearly on X, in such a way that each stratum [S∕H] has a geometric quotient S∕H. This leads to stratifications of moduli stacks (for example, sheaves over a projective scheme) such that each stratum has a coarse moduli space.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1007/978-3-319-94881-2_1

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Oxford college:
Balliol College
Role:
Author



Publisher:
Springer, Cham
Host title:
Abelsymposium 2017: Geometry of Moduli
Journal:
Geometry of moduli. The Abel Symposium 2017 More from this journal
Volume:
14
Pages:
1-33
Series:
Abel Symposia
Publication date:
2018-11-24
Acceptance date:
2018-01-30
DOI:
ISSN:
2193-2808
ISBN:
9783319948812


Pubs id:
pubs:826669
UUID:
uuid:ccdb41c1-afbf-4cf7-9195-15c04632fd9b
Local pid:
pubs:826669
Source identifiers:
826669
Deposit date:
2018-02-26

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