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On G/N-Hilb of N-Hilb

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arxiv 1108.2310 v2 pith:VVYCNAHI submitted 2011-08-11 math.AG math.RT

Akira Ishii , Yukari Ito , Álvaro Nolla de Celis This is my paper · ORCID
classification math.AGmath.RT
keywords n-hilbconsiderisomorphiccertainconditionconstructioncrepantdifferent
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In this paper we consider the iterated G-equivariant Hilbert scheme G/N-Hilb(N-Hilb) and prove that G/N-Hilb(N-Hilb(C^3)) is a crepant resolution of C^3/G isomorphic to the moduli space of \theta-stable representations of the McKay quiver for certain stability condition \theta. We provide several explicit examples to illustrate this construction. We also consider the problem of when G/N-Hilb(N-Hilb) is isomorphic to G-Hilb showing the fact that these spaces are most of the times different.

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  1. Walls for $G$-Hilb via Reid's Recipe

    math.AG 2019-08 conditional novelty 6.0 of 10

    The walls of the G-Hilb chamber for finite abelian G in SL3(C) are exactly: Type I walls from (-1,-1)-curves, Type III walls from generalised long sides, and Type 0 walls from exceptional divisors, with all inequaliti...

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