t-结构的不变量与零类的分类
Invariants of t-structures and classification of nullity classes
摘要:
在诺特环的导出范畴上构造了t-结构的一个不变量。当限制到拟凝聚复形范畴时,这个不变量是完备的,并且给出了具有相同限制的零类的分类。在$\mathbb Z$的全导出范畴上,我们证明了不同的t-结构类不构成一个集合.
英文摘要:
We construct an invariant of t-structures on the derived category of a Noetherian ring. This invariant is complete when restricting to the category of quasi-coherent complexes, and also gives a classification of nullity classes with the same restriction. On the full derived category of $\mathbb Z$ we show that the class of distinct t-structures do not form a set.
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