Invariants of t-structures and classification of nullity classes

Mathematics – Commutative Algebra

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Scientific paper

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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