[hal-01076767] MODULI SPACES OF G h–CONSTELLATIONS

Given a reductive group G acting on an affine scheme X over C and a Hilbert function h IrrG \rightarrow N0 we construct the moduli space M\thetaX of stable Gh-constellations on X which is a common generalisation of the invariant Hilbert scheme after Alexeev and Brion and the moduli space of \theta-stable G-constellations for finite groups G introduced by Craw and Ishii Our construction of a morphism M\thetaX \rightarrow X//G makes this moduli space a candidate for a resolution of singularities of the quotient X//G



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