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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2509.14231 |
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| _version_ | 1866909793376010240 |
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| author | Stefanich, Germán |
| author_facet | Stefanich, Germán |
| contents | We show that, for a Noetherian algebraic stack with quasi-affine diagonal $X$, the stable $\infty$-category of quasi-coherent sheaves on $X$ is dualizable if and only if the reduced identity component of the stabilizer of $X$ at every geometric point of positive characteristic is a torus. Along the way, we show that this condition on stabilizers is also equivalent to an array of other categorical conditions of interest. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_14231 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Dualizability of derived categories of algebraic stacks Stefanich, Germán Algebraic Geometry We show that, for a Noetherian algebraic stack with quasi-affine diagonal $X$, the stable $\infty$-category of quasi-coherent sheaves on $X$ is dualizable if and only if the reduced identity component of the stabilizer of $X$ at every geometric point of positive characteristic is a torus. Along the way, we show that this condition on stabilizers is also equivalent to an array of other categorical conditions of interest. |
| title | Dualizability of derived categories of algebraic stacks |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2509.14231 |