Mathematics – Algebraic Geometry
Scientific paper
2008-01-30
Mathematics
Algebraic Geometry
Minor corrections made on pages 12 and 20; references updated. To appear in 'Moduli Spaces and Vector Bundles' (CUP) in honour
Scientific paper
Given a suitable action on a complex projective variety X of a non-reductive affine algebraic group H, this paper considers how to choose a reductive group G containing H and a projective completion of G x_H X which is a reductive envelope in the sense of math.AG/0703131. In particular it studies the family of examples given by moduli spaces of hypersurfaces in the weighted projective plane P(1,1,2) obtained as quotients by linear actions of the (non-reductive) automorphism group of P(1,1,2).
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