Moduli spaces of (G,h)-constellations

Details Moduli spaces of (G,h)-constellations Moduli spaces of (G,h)-constellations

2012-03-13

arxiv.org/abs/1203.2937v1

Mathematics

Algebraic Geometry

28 pages, this article is part of my PhD thesis

Scientific paper

Given a reductive group G acting on an affine scheme X over C and a Hilbert function h: IrrG \rightarrow N_0, we construct the moduli space M_{\theta}(X) of stable (G,h)-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_{\theta}(X) \rightarrow X//G makes this moduli space a candidate for a resolution of singularities of the quotient X//G.

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