论文标题
适用于表征Gorenstein方案的精确类别的奇异性类别
The singularity category of an exact category applied to characterize Gorenstein schemes
论文作者
论文摘要
我们研究了确切类别的奇异性类别，重点是与完整的遗传营养对相关的类别。作为应用程序，我们确定了戈伦斯坦本地环的奇异性类别的非属性类似物。由于布奇威茨（Buchweitz）的经典等效性与戈伦斯坦（Gorenstein）本地戒指相当，已推广到计划中，这项项目由Murfet和Salarian启动。作为另一个应用程序，我们使用该框架来表征有限有限维度的环。
We study singularity categories of exact categories with a focus on those associated to a complete hereditary cotorsion pair. As an application we identify a non-affine analogue of the singularity category of a Gorenstein local ring; with this Buchweitz's classic equivalence of three categories over Gorenstein local rings has been generalized to schemes, a project started by Murfet and Salarian more than ten years ago. As another application we use the framework to characterize rings of finite finitistic dimension.
