Quotients by non-reductive algebraic group actions
Abstract
Description
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).
Minor corrections made on pages 12 and 20; references updated. To appear in 'Moduli Spaces and Vector Bundles' (CUP) in honour of Peter Newstead
Minor corrections made on pages 12 and 20; references updated. To appear in 'Moduli Spaces and Vector Bundles' (CUP) in honour of Peter Newstead