Derived equivalences via HRS-tilting
Derived equivalences via HRS-tilting
复制标题
通过 HRS 倾斜推导等价
DOI：
10.1016/j.aim.2019.106749
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发表时间：
2019
影响因子：
1.7
通讯作者：
Zhou Yu
中科院分区：
文献类型：
--
作者：
Chen Xiao Wu;Han Zhe;Zhou Yu
设A是阿贝尔范畴，B是A关于扭对的Happl-Reiten-Smalø倾斜。我们给出了A和B之间存在导出等价的充要条件，这与B包含在A的导出范畴中是相容的。作为应用，我们分别得到了与分裂扭对、TTF-三元组和二项淤积子范畴有关的新的导出等价。证明了对于任意有界t-结构的实现函子，它的稠密性蕴含着它的完全忠实。
Let A be an abelian category and B be the Happel-Reiten-Smalø tilt of A with respect to a torsion pair. We give necessary and sufficient conditions for the existence of a derived equivalence between A and B, which is compatible with the inclusion of B into the derived category of A. As applications, we obtain new derived equivalences related to splitting torsion pairs, TTF-triples and two-term silting subcategories, respectively. We prove that for the realization functor of any bounded t-structure, its denseness implies its fully-faithfulness.