Bounded t-structures on the category of perfect complexes over a Noetherian ring of finite Krull dimension
Algebraic Topology
2019-10-18 v1
Abstract
We classify bounded t-structures on the category of perfect complexes over a commutative, Noetherian ring of finite Krull dimension, extending a result of Alonso Tarrio, Jeremias Lopez and Saorin which covers the regular case. In particular, we show that there are no bounded t-structures in the singular case, verifying the affine version of a conjecture of Antieau, Gepner and Heller, and also that there are no non-trivial t-structures at all in the singular, irreducible case.
Keywords
Cite
@article{arxiv.1910.07697,
title = {Bounded t-structures on the category of perfect complexes over a Noetherian ring of finite Krull dimension},
author = {Harry Smith},
journal= {arXiv preprint arXiv:1910.07697},
year = {2019}
}