Bounded t-structures on the category of perfect complexes over a Noetherian ring of finite Krull dimension

Harry Smith

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arXiv · 1910.07697

Bounded t-structures on the category of perfect complexes over a Noetherian ring of finite Krull dimension

Harry Smith

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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.

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Harry Smith. 2019-10-17. Bounded t-structures on the category of perfect complexes over a Noetherian ring of finite Krull dimension. https://arxiv.org/abs/1910.07697

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