Weak Stability Conditions as Limits of Bridgeland Stability Conditions
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866910631082328064 |
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| author | Colllins, Tristan C. Lo, Jason Shi, Yun Yau, Shing-Tung |
| author_facet | Colllins, Tristan C. Lo, Jason Shi, Yun Yau, Shing-Tung |
| contents | In this paper, we give a definition of weak stability condition on a triangulated category. The difference between our definition and existing definitions is that we allow objects in the kernel to have non-maximal phases. We then construct four types of weak stability conditions that naturally occur on Weierstrass ellitpic surfaces as limites of Bridgeland stability conditions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_02466 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Weak Stability Conditions as Limits of Bridgeland Stability Conditions Colllins, Tristan C. Lo, Jason Shi, Yun Yau, Shing-Tung Algebraic Geometry In this paper, we give a definition of weak stability condition on a triangulated category. The difference between our definition and existing definitions is that we allow objects in the kernel to have non-maximal phases. We then construct four types of weak stability conditions that naturally occur on Weierstrass ellitpic surfaces as limites of Bridgeland stability conditions. |
| title | Weak Stability Conditions as Limits of Bridgeland Stability Conditions |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2410.02466 |