Bounded t-structures on the Category of Perfect Complexes
thesisposted on 2020-08-01, 00:00 authored by Harry Edwards Smith
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.
Degree GrantorUniversity of Illinois at Chicago
Degree namePhD, Doctor of Philosophy
Committee MemberShipley, Brooke Datta, Rankeya Zhang, Wenliang Heller, Jeremiah
Submitted dateAugust 2020