Abstract
Given an infinite reductive group G acting on an affine scheme X over ℂ and a Hilbert function h: IrrG →ℕ0, we construct the moduli space M θ (X) of θ-stable (G, h)-constellations on X, which is a generalization of the invariant Hilbert scheme after Alexeev and Brion [AB05] and an analogue of the moduli space of θ-stable G-constellations for finite groups G introduced by Craw and Ishii [CI04]. Our construction of a morphism M θ (X) → X//G makes this moduli space a candidate for a resolution of singularities of the quotient X//G.
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An erratum to this article is available at http://dx.doi.org/10.1007/s00031-017-9417-x.
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BECKER, T., TERPEREAU, R. MODULI SPACES OF (G, h)-CONSTELLATIONS. Transformation Groups 20, 335–366 (2015). https://doi.org/10.1007/s00031-015-9311-3
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DOI: https://doi.org/10.1007/s00031-015-9311-3