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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2401.00600 |
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| _version_ | 1866929290587668480 |
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| author | Halpern-Leistner, Daniel Jiang, Jeffrey Robotis, Antonios-Alexandros |
| author_facet | Halpern-Leistner, Daniel Jiang, Jeffrey Robotis, Antonios-Alexandros |
| contents | We develop a framework relating semiorthogonal decompositions of a triangulated category $\mathcal{C}$ to paths in its space of stability conditions. We prove that when $\mathcal{C}$ is the homotopy category of a smooth and proper idempotent complete pre-triangulated dg-category, every semiorthogonal decomposition whose factors admit a Bridgeland stability condition can be obtained from our framework. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_00600 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Stability conditions and semiorthogonal decompositions I: quasi-convergence Halpern-Leistner, Daniel Jiang, Jeffrey Robotis, Antonios-Alexandros Algebraic Geometry 14F08 We develop a framework relating semiorthogonal decompositions of a triangulated category $\mathcal{C}$ to paths in its space of stability conditions. We prove that when $\mathcal{C}$ is the homotopy category of a smooth and proper idempotent complete pre-triangulated dg-category, every semiorthogonal decomposition whose factors admit a Bridgeland stability condition can be obtained from our framework. |
| title | Stability conditions and semiorthogonal decompositions I: quasi-convergence |
| topic | Algebraic Geometry 14F08 |
| url | https://arxiv.org/abs/2401.00600 |