What is known about crepant resolutions of $\mathbb{C}^{4}/G$ for G cyclic? Any references for such resolutions would be appreciated.
2026-03-31 07:52:36.1774943556
Crepant Resolutions of $\mathbb{C}^{4}/G$ for G Cyclic
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Recall that a resolution is crepant if all discrepancies of exceptional divisors are zero.
You may find a lot of useful references and information in M.Grab's phd thesis. For instance section 2.2 addresses discrepancy divisors of quotient singularities for $G\subseteq \mathrm{SL}_n(\mathbb{C})$. Theorem 2.2.13 describes discrepancies of exceptional divisors in terms of the stabilizers of their general points. The case of cyclic groups should be particularly easy.