摘要翻译：
我们证明了两个已有的关于有限阿贝尔G在SL3(C)中的几何McKay对应的猜想，使得C^3/G具有单个孤立奇点。我们通过研究计算一个Fourier-Mukai变换的导出范畴力学与一个称为Reid公式的toric组合学之间的关系，有效地提供了后者的范畴化。
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英文标题：
《Reid's recipe and derived categories》
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作者：
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 prove two existing conjectures which describe the geometrical McKay correspondence for a finite abelian G in SL3(C) such that C^3/G has a single isolated singularity. We do it by studying the relation between the derived category mechanics of computing a certain Fourier-Mukai transform and a piece of toric combinatorics known as `Reid's recipe', effectively providing a categorification of the latter.
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PDF链接：
https://arxiv.org/pdf/0812.4503