et 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.
Bounded t-structures on the category of perfect complexes / A. Neeman. - In: ACTA MATHEMATICA. - ISSN 0001-5962. - 233:2(2024), pp. 239-284. [10.4310/ACTA.2024.v233.n2.a2]
Bounded t-structures on the category of perfect complexes
A. Neeman
2024
Abstract
et 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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