Comparing Kahler cone and symplectic cone of one-point blowup of Enriques surface
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913430441558016 |
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| author | Ning, Shengzhen |
| author_facet | Ning, Shengzhen |
| contents | We follow the study by Cascini-Panov on symplectic generic complex structures on Kahler surfaces with $p_g=0$, a question proposed by Tian-Jun Li, by demonstrating that the one-point blowup of an Enriques surface admits non-Kahler symplectic forms. This phenomenon relies on the abundance of elliptic fibrations on Enriques surfaces, characterized by various invariants from algebraic geometry. We also provide a quantitative comparison of these invariants to further give a detailed examination of the distinction between Kahler cone and symplectic cone. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_10217 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Comparing Kahler cone and symplectic cone of one-point blowup of Enriques surface Ning, Shengzhen Symplectic Geometry Algebraic Geometry We follow the study by Cascini-Panov on symplectic generic complex structures on Kahler surfaces with $p_g=0$, a question proposed by Tian-Jun Li, by demonstrating that the one-point blowup of an Enriques surface admits non-Kahler symplectic forms. This phenomenon relies on the abundance of elliptic fibrations on Enriques surfaces, characterized by various invariants from algebraic geometry. We also provide a quantitative comparison of these invariants to further give a detailed examination of the distinction between Kahler cone and symplectic cone. |
| title | Comparing Kahler cone and symplectic cone of one-point blowup of Enriques surface |
| topic | Symplectic Geometry Algebraic Geometry |
| url | https://arxiv.org/abs/2407.10217 |