Bridgeland stability conditions on some higher-dimensional Calabi--Yau manifolds and generalized Kummer varieties
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912670486102016 |
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| author | Cheng, Yiran |
| author_facet | Cheng, Yiran |
| contents | We construct Bridgeland stability conditions on the the following hyper-Kähler or strict Calabi--Yau manifolds:
- Generalized Kummer varieties associated to an abelian surface that is isogenous to a product of elliptic curves.
- Universal covers of Hilbert schemes of some Enriques surfaces; this provides examples of stability conditions on strict Calabi--Yau manifolds in each even dimension.
- Albanese fibers of some finite étale covering of Hilbert schemes of some bielliptic surfaces; this provides examples of stability conditions on strict Calabi-Yau manifolds in each odd dimension.
- Cynk--Hulek Calabi--Yau manifolds with an automorphism of order $2$ or $3$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_22432 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Bridgeland stability conditions on some higher-dimensional Calabi--Yau manifolds and generalized Kummer varieties Cheng, Yiran Algebraic Geometry We construct Bridgeland stability conditions on the the following hyper-Kähler or strict Calabi--Yau manifolds: - Generalized Kummer varieties associated to an abelian surface that is isogenous to a product of elliptic curves. - Universal covers of Hilbert schemes of some Enriques surfaces; this provides examples of stability conditions on strict Calabi--Yau manifolds in each even dimension. - Albanese fibers of some finite étale covering of Hilbert schemes of some bielliptic surfaces; this provides examples of stability conditions on strict Calabi-Yau manifolds in each odd dimension. - Cynk--Hulek Calabi--Yau manifolds with an automorphism of order $2$ or $3$. |
| title | Bridgeland stability conditions on some higher-dimensional Calabi--Yau manifolds and generalized Kummer varieties |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2510.22432 |