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Variation of non-reductive geometric invariant theory

Abstract:

Variation of Geometric Invariant Theory (VGIT) [DH98, Tha96] studies the structure of the dependence of a GIT quotient on the choice of linearisation. This structure, and the concomitant wall-crossing picture relating the different quotients when a reductive group acts linearly on a projective variety (with respect to an ample linearisation), has long been a hallmark of classical GIT, and has found many diverse applications. In this article we show that under the conditions of results give...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.4310/SDG.2017.v22.n1.a2

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Institution:
University of Oxford
Division:
MPLS Division
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 Publisher's website
Journal:
Journal of Differential Geometry 2017 Conference Journal website
Host title:
Journal of Differential Geometry 2017 Conference
Publication date:
2018-09-13
Acceptance date:
2018-05-11
DOI:
Source identifiers:
847419
Pubs id:
pubs:847419
UUID:
uuid:f25b43cc-ffee-49a1-819f-5ea3b48f6a4d
Local pid:
pubs:847419
Deposit date:
2018-05-12

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