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摘要翻译：
我们提出了Gonzales-Sprinberg和Verdier在维2中描述的几何McKay对应关系的三维推广。当G是abelian且C^3/G有单个孤立奇点时，我们详细地研究了它。更确切地说，我们证明了Bridgeland-King-Reid导出的范畴等价性在G的不可约表示和G-Hilb(C^3)的例外集的子方案之间诱导了一种自然的几何对应关系。这一对应似乎与里德的食谱有关。
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英文标题：
《A derived approach to geometric McKay correspondence in dimension three》
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作者：
Sabin Cautis, Timothy Logvinenko
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最新提交年份：
2012
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分类信息：
一级分类：Mathematics 数学
二级分类：Algebraic Geometry 代数几何
分类描述：Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇，叠，束，格式，模空间，复几何，量子上同调
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英文摘要：
We propose a three dimensional generalization of the geometric McKay correspondence described by Gonzales-Sprinberg and Verdier in dimension two. We work it out in detail when G is abelian and C^3/G has a single isolated singularity. More precisely, we show that the Bridgeland-King-Reid derived category equivalence induces a natural geometric correspondence between irreducible representations of G and subschemes of the exceptional set of G-Hilb (C^3). This correspondence appears to be related to Reid's recipe.
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PDF链接：
https://arxiv.org/pdf/0803.2990
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