Bounded t-structures on the category of perfect complexes
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866916534390095872 |
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| author | Neeman, Amnon |
| author_facet | Neeman, Amnon |
| contents | Let $X$ be a finite-dimensional, noetherian scheme. Antieau, Gepner and Heller conjectured that its derived category of perfect complexes has a bounded t-structure if and only if $X$ is regular.
We prove a generalization, and to do so we sharpen some of the techniques so far obtained in the theory of approximable triangulated categories. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2202_08861 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Bounded t-structures on the category of perfect complexes Neeman, Amnon Algebraic Geometry Category Theory Primary 14F08, secondary 18G80, 19D35 Let $X$ be a finite-dimensional, noetherian scheme. Antieau, Gepner and Heller conjectured that its derived category of perfect complexes has a bounded t-structure if and only if $X$ is regular. We prove a generalization, and to do so we sharpen some of the techniques so far obtained in the theory of approximable triangulated categories. |
| title | Bounded t-structures on the category of perfect complexes |
| topic | Algebraic Geometry Category Theory Primary 14F08, secondary 18G80, 19D35 |
| url | https://arxiv.org/abs/2202.08861 |