论文标题
超出表面支持非交通式完整交叉点
Hypersurface support for noncommutative complete intersections
论文作者
论文摘要
我们引入了超出表面支持的无限变体，以实现有限维，非交通式完整交集。通过非公共的完整交叉点，我们的意思是一个代数R，该代数是由有限的全球尺寸的Noetherian代数$ Q $的平滑变形$ q \ r $。我们表明，Hyperface支持定义了对大奇异性类别$ sing（R）$的支持理论，并且仅当对象本身消失时，$ sing（r）$中对象的支持就消失了。我们的工作灵感来自Avramov和Buchweitz的支持理论（可交换）本地完整交集。在同伴中，我们采用超表面支持以及本文的结果，为许多有限维的HOPF代数家庭中的稳定类别中的厚理想分类。
We introduce an infinite variant of hypersurface support for finite-dimensional, noncommutative complete intersections. By a noncommutative complete intersection we mean an algebra R which admits a smooth deformation $Q\to R$ by a Noetherian algebra $Q$ which is of finite global dimension. We show that hypersurface support defines a support theory for the big singularity category $Sing(R)$, and that the support of an object in $Sing(R)$ vanishes if and only if the object itself vanishes. Our work is inspired by Avramov and Buchweitz' support theory for (commutative) local complete intersections. In a companion piece, we employ hypersurface support, and the results of the present paper, to classify thick ideals in stable categories for a number of families of finite-dimensional Hopf algebras.
