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Bounded t-structures on the Category of Perfect Complexes

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posted 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.

History

Advisor

Antieau, Benjamin

Chair

Antieau, Benjamin

Department

Mathematics

Degree Grantor

University of Illinois at Chicago

Degree Level

  • Doctoral

Degree name

PhD, Doctor of Philosophy

Committee Member

Shipley, Brooke Datta, Rankeya Zhang, Wenliang Heller, Jeremiah

Submitted date

August 2020

Thesis type

application/pdf

Language

  • en

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