COMBINATORIAL CONSTRUCTIONS OF DERIVED EQUIVALENCES
COMBINATORIAL CONSTRUCTIONS OF DERIVED EQUIVALENCES
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DOI：
10.1090/jams/940
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发表时间：
2020-07-01
影响因子：
3.9
通讯作者：
Sam, Steven, V
中科院分区：
文献类型：
--
作者：
Halpern-Leistner, Daniel;Sam, Steven, V
给定还原群的某种线性表示（在 Špenko 和 Van den Bergh 最近的工作中称为拟对称表示），我们在其各种几何不变量理论（GIT）商的相干滑轮的派生类别之间构造等价性，以获得适当的通用稳定性参数。 GIT 商的这些变化是比最近关于 GIT 商的派生类别和变化的工作中研究的平衡墙壁交叉更复杂的墙壁交叉的例子。
Given a certain kind of linear representation of a reductive group, referred to as a quasi-symmetric representation in recent work of Špenko and Van den Bergh, we construct equivalences between the derived categories of coherent sheaves of its various geometric invariant theory (GIT) quotients for suitably generic stability parameters. These variations of GIT quotient are examples of more complicated wall crossings than the balanced wall crossings studied in recent work on derived categories and variation of GIT quotients.