三角范畴中单纯集合的粘合
Gluing simple-minded collections in triangulated categories
AI总结:
本文提出一种沿着Hom有限Krull-Schmidt三角范畴重组粘合单纯集合的技术,证明其与有界$t$-结构等粘合技术兼容,且保持偏序并可与突变操作交换。
摘要:
我们提供了一种技术,沿着域上Hom有限Krull-Schmidt三角范畴的重组,将单纯集合进行粘合。文献表明,单纯集合的这种粘合技术与粘合有界$t$-结构、倾斜对象和余$t$-结构的技术兼容。此外,它还具有保持偏序和与突变操作交换的性质。
英文摘要:
We provide a technique to glue simple-minded collections along a recollement of Hom-finite Krull-Schmidt triangulated categories over a field. This gluing technique for simple-minded collections is shown to be compatible with those for gluing bounded $t$-structures, silting objects, and co-$t$-structures in the literature. Furthermore, it also enjoys the properties of preserving partial order and commuting with the operation of mutation.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。