论文标题
Gorenstein Abelian商奇异品的Fujiki-Oka决议的Crepant财产
Crepant Property of Fujiki-Oka Resolutions for Gorenstein Abelian Quotient Singularities
论文作者
论文摘要
我们通过使用Ashikaga的连续分数，在所有维度上都可以在所有维度上都是gorenstein abelian商奇异性的藤本式分辨率的足够条件。此外，我们证明了所有三个维度的戈伦斯坦·阿贝尔（Gorenstein Abelian）商的奇异性均具有切蛋白酶的分辨率。这种替代的存在证明仅需要与已知结果相比的简单计算。
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.
