Terminal Quotient Singularities in Dimension three via variation of GIT

preprint2015arXivOpen access

Abstract

A 3-fold terminal quotient singularity X=C^3/G admits the economic resolution Y-> X, which is "close to being crepant". This paper proves that the economic resolution Y is isomorphic to a distinguished component of a moduli space of certain G-equivariant objects using the the King stability condition θθ introduced by Kędzierski.

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