Reid的配方和导出范畴
Reid's recipe and derived categories
摘要:
本文证明了SL 3(C)中有限交换群G的几何McKay对应的两个已有定理,使得C^3/G有一个孤立奇点.我们这样做,通过研究之间的关系的导出范畴力学计算一定的傅里叶-向井变换和一块复曲面组合被称为“里德的食谱”,有效地提供了后者的分类。
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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