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arXiv · 2108.02402

Hilbert desingularizations for three dimensional canonical cyclic quotient singularities

Kohei Sato·Yusuke Sato
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Abstract

In this paper, we shall discuss Hilbert property of ${\rm Hilb}^{G}(\mathbb{C}^{3})$, Fujiki-Oka resolutions and iterated Fujiki-Oka resolutions for three dimensional canonical cyclic quotient singularities by using the classification shown by Ishida and Iwashita\cite{II}. Finally, we shall prove that there exists a Hilbert desingularization for any three dimensional canonical cyclic quotient singularity.

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Kohei Sato, Yusuke Sato. 2021-08-05. Hilbert desingularizations for three dimensional canonical cyclic quotient singularities. https://arxiv.org/abs/2108.02402

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