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• W2063597989 abstract "For a finite abelian group G ⊂ GL (n, k ), we describe the coherent component Yθ of the moduli space ℳθ of θ-stable McKay quiver representations. This is a not-necessarily-normal toric variety that admits a projective birational morphism Y θ → A k n / G obtained by variation of Geometric Invariant Theory quotient. As a special case, this gives a new construction of Nakamura's G-Hilbert scheme HilbG that avoids the (typically highly singular) Hilbert scheme of |G|-points in A k n . To conclude, we describe the toric fan of Yθ and hence calculate the quiver representation corresponding to any point ofYθ." @default.
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• W2063597989 date "2007-03-30" @default.
• W2063597989 modified "2023-10-16" @default.
• W2063597989 title "Moduli of McKay quiver representations I: the coherent component" @default.
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• W2063597989 doi "https://doi.org/10.1112/plms/pdm009" @default.
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