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Graded unipotent groups and Grosshans theory

Abstract:

Let U be a unipotent group which is graded in the sense that it has an extension H by the multiplicative group of the complex numbers such that all the weights of the adjoint action on the Lie algebra of U are strictly positive. We study embeddings of H in a general linear group G which possess Grosshans-like properties. More precisely, suppose H acts on a projective variety X and its action extends to an action of G which is linear with respect to an ample line bundle on X. Then, provided th...

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Publication status:
Published
Peer review status:
Peer reviewed
Version:
Publisher's version

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Publisher copy:
10.1017/fms.2017.19

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Department:
Balliol College
Publisher:
Cambridge University Press Publisher's website
Journal:
Forum of Mathematics, Sigma Journal website
Volume:
5
Pages:
e21
Publication date:
2017-08-05
Acceptance date:
2017-07-28
DOI:
EISSN:
2050-5094
ISSN:
2050-5094
Pubs id:
pubs:710768
URN:
uri:95149b9a-610a-4b21-9e52-c25e0b3b4710
UUID:
uuid:95149b9a-610a-4b21-9e52-c25e0b3b4710
Local pid:
pubs:710768

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