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arXiv · 1701.09149

Crepant resolutions of 3-dimensional quotient singularities via Cox rings

Maria Donten-Bury·Maksymilian Grab
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Abstract

We study Cox rings of crepant resolutions of quotient singularities $\mathbb{C}^3/G$ where $G$ is a finite subgroup of $SL(3,\mathbb{C})$. We use them to obtain information on the geometric structure of these resolutions, number of different resolutions and relations between them. In particular, we treat explicitly several examples where $G$ contains elements of age 2.

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Maria Donten-Bury, Maksymilian Grab. 2017-01-31. Crepant resolutions of 3-dimensional quotient singularities via Cox rings. https://arxiv.org/abs/1701.09149

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