SMITH-DISSERTATION-2020.pdf (286.6 kB)
Download fileBounded t-structures on the Category of Perfect Complexes
thesis
posted on 2020-08-01, 00:00 authored by Harry Edwards SmithWe 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.
History
Advisor
Antieau, BenjaminChair
Antieau, BenjaminDepartment
MathematicsDegree Grantor
University of Illinois at ChicagoDegree Level
- Doctoral
Degree name
PhD, Doctor of PhilosophyCommittee Member
Shipley, Brooke Datta, Rankeya Zhang, Wenliang Heller, JeremiahSubmitted date
August 2020Thesis type
application/pdfLanguage
- en