Bounded t-structures on the category of perfect complexes
Algebraic Geometry
2024-12-23 v4 Category Theory
Abstract
Let 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 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.
Cite
@article{arxiv.2202.08861,
title = {Bounded t-structures on the category of perfect complexes},
author = {Amnon Neeman},
journal= {arXiv preprint arXiv:2202.08861},
year = {2024}
}
Comments
This is the final, published version. Contains many improvements on the earlier version