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arXiv · 2004.03522

Crepant Property of Fujiki-Oka Resolutions for Gorenstein Abelian Quotient Singularities

Kohei Sato·Yusuke Sato
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Abstract

We show a sufficient condition for Fujiki-Oka resolutions of Gorenstein abelian quotient singularities to be crepant in all dimensions by using Ashikaga's continuous fractions. Moreover, we prove that all three dimensional Gorenstein abelian quotient singularities possess a crepant resolution as a corollary. This alternative proof of existence needs only simple computations comparing with the results ever known.

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Kohei Sato, Yusuke Sato. 2020-04-07. Crepant Property of Fujiki-Oka Resolutions for Gorenstein Abelian Quotient Singularities. https://arxiv.org/abs/2004.03522

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