Bridgeland/Weak Stability Conditions under Spherical Twist Associated to A Torsion Sheaf
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866909868097536000 |
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| author | Collins, Tristan C. Lo, Jason Shi, Yun Yau, Shing-Tung |
| author_facet | Collins, Tristan C. Lo, Jason Shi, Yun Yau, Shing-Tung |
| contents | In this paper, we study the action of an autoequivalence, the spherical twist associated to a torsion sheaf, on the standard Bridgeland stability conditions and a generalized weak stability condition on the derived category of a K3 surface. As a special case, we construct a Bridgeland stability condition associated to a non-nef divisor, which conjecturally lies in the geometric component but outside the geometric chamber. We also discuss the destabilizing objects and stability of certain line bundles at the weak stability condition associated to a nef divisor. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_18554 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Bridgeland/Weak Stability Conditions under Spherical Twist Associated to A Torsion Sheaf Collins, Tristan C. Lo, Jason Shi, Yun Yau, Shing-Tung Algebraic Geometry In this paper, we study the action of an autoequivalence, the spherical twist associated to a torsion sheaf, on the standard Bridgeland stability conditions and a generalized weak stability condition on the derived category of a K3 surface. As a special case, we construct a Bridgeland stability condition associated to a non-nef divisor, which conjecturally lies in the geometric component but outside the geometric chamber. We also discuss the destabilizing objects and stability of certain line bundles at the weak stability condition associated to a nef divisor. |
| title | Bridgeland/Weak Stability Conditions under Spherical Twist Associated to A Torsion Sheaf |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2411.18554 |