Fractional Calabi�Yau categories from Landau�Ginzburg models
Fractional Calabi�Yau categories from Landau�Ginzburg models
复制标题
Landau�Ginzburg 模型中的分数 Calabi�Yau 类别
DOI：
10.17863/cam.11169
复制
发表时间：
2016
影响因子：
1.5
通讯作者：
Tyler L. Kelly
中科院分区：
文献类型：
--
作者：
David Favero;Tyler L. Kelly
给出了规范Landau-Ginzburg模型导出范畴上Serre函子存在的判别准则。这是用来提供一个一般定理的存在性的一个容许的（分数）的Calabi-Yau子范畴的规范的Landau-Ginzburg模型和几何背景crepant分类决议。我们明确地描述了我们的框架中的复曲面设置。因此，我们推广了奥尔洛夫和库兹涅佐夫的几个定理和例子，最后给出了包含（分数）Calabi-Yau范畴的半正交分解的新例子。
We give criteria for the existence of a Serre functor on the derived category of a gauged Landau-Ginzburg model. This is used to provide a general theorem on the existence of an admissible (fractional) Calabi-Yau subcategory of a gauged Landau-Ginzburg model and a geometric context for crepant categorical resolutions. We explicitly describe our framework in the toric setting. As a consequence, we generalize several theorems and examples of Orlov and Kuznetsov, ending with new examples of semi-orthogonal decompositions containing (fractional) Calabi-Yau categories.