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。
---
英文标题:
《Reid's recipe and derived categories》
---
作者:
Timothy Logvinenko
---
最新提交年份:
2012
---
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
--
---
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.
---
PDF链接:
https://arxiv.org/pdf/0812.4503