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Bounded t-structures on the category of perfect complexes (2202.08861v4)
Published 17 Feb 2022 in math.AG and math.CT
Abstract: Let $X$ be a finite-dimensional, noetherian scheme. Antieau, Gepner and Heller conjectured that its derived category of perfect complexes has a bounded t-structure if and only if $X$ is regular. We prove a generalization, and to do so we sharpen some of the techniques so far obtained in the theory of approximable triangulated categories.
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