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Graded linearisations

Abstract:

When the action of a reductive group on a projective variety has a suitable linearisation, Mumford's geometric invariant theory (GIT) can be used to construct and study an associated quotient variety. In this article we describe how Mumford's GIT can be extended effectively to suitable actions of linear algebraic groups which are not necessarily reductive, with the extra data of a graded linearisation for the action. Any linearisation in the traditional sense for a reductive group action i...

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Publication status:
Published
Peer review status:
Peer reviewed

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Institution:
University of Oxford
Oxford college:
Balliol College
Role:
Author, Author
Swiss National Science Foundation More from this funder
Publisher:
American Mathematical Society Publisher's website
Journal:
Proceedings of Symposia in Pure Mathematics Journal website
Volume:
99
Pages:
1-22
Host title:
Modern Geometry — A celebration of the work of Simon Donaldson
Publication date:
2018-09-05
Acceptance date:
2017-08-04
Source identifiers:
713448
Pubs id:
pubs:713448
UUID:
uuid:961e4784-3997-4fc9-a3de-af5928d975cf
Local pid:
pubs:713448
Deposit date:
2017-08-11

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