非交换完全交的超曲面支持

IF 0.8 2区 数学 Q2 MATHEMATICS
C. Negron, J. Pevtsova
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引用次数: 2

摘要

摘要引入有限维非交换完全交的超曲面支持的无限变体。我们证明了超曲面支持为大奇点范畴$\operatorname {Sing}(R)$定义了一个支持理论,并且当且仅当对象本身消失时,$\operatorname {Sing}(R)$中对象的支持消失。我们的工作受到Avramov和Buchweitz关于(可交换的)局部完全交集的支持理论的启发。在伴片[27]中,我们利用无限维模的超曲面支持,以及本文的结果,对若干有限维Hopf代数族的稳定范畴中的厚理想进行了分类。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
HYPERSURFACE SUPPORT FOR NONCOMMUTATIVE COMPLETE INTERSECTIONS
Abstract We introduce an infinite variant of hypersurface support for finite-dimensional, noncommutative complete intersections. We show that hypersurface support defines a support theory for the big singularity category $\operatorname {Sing}(R)$ , and that the support of an object in $\operatorname {Sing}(R)$ 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 the companion piece [27], we employ hypersurface support for infinite-dimensional modules, and the results of the present paper, to classify thick ideals in stable categories for a number of families of finite-dimensional Hopf algebras.
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来源期刊
CiteScore
1.60
自引率
0.00%
发文量
31
审稿时长
6 months
期刊介绍: The Nagoya Mathematical Journal is published quarterly. Since its formation in 1950 by a group led by Tadashi Nakayama, the journal has endeavoured to publish original research papers of the highest quality and of general interest, covering a broad range of pure mathematics. The journal is owned by Foundation Nagoya Mathematical Journal, which uses the proceeds from the journal to support mathematics worldwide.
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