What is a stable log map?
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908679907835904 |
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| author | Farajzadeh-Tehrani, Mohammad Swaminathan, Mohan |
| author_facet | Farajzadeh-Tehrani, Mohammad Swaminathan, Mohan |
| contents | Let $X$ be a smooth projective variety over $\mathbb{C}$ with a simple normal crossings divisor $D\subset X$. We compare the notions of stable log maps to $(X,D)$ in algebraic geometry and symplectic topology. In particular, we prove an equivalence between fine (basic) algebraic log maps and symplectic log maps, and we define the symplectic analogue of fine saturated algebraic log maps by refining the notion of log Gromov convergence. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_22917 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | What is a stable log map? Farajzadeh-Tehrani, Mohammad Swaminathan, Mohan Algebraic Geometry Symplectic Geometry 14N35, 53D45, 14D20, 58D27 Let $X$ be a smooth projective variety over $\mathbb{C}$ with a simple normal crossings divisor $D\subset X$. We compare the notions of stable log maps to $(X,D)$ in algebraic geometry and symplectic topology. In particular, we prove an equivalence between fine (basic) algebraic log maps and symplectic log maps, and we define the symplectic analogue of fine saturated algebraic log maps by refining the notion of log Gromov convergence. |
| title | What is a stable log map? |
| topic | Algebraic Geometry Symplectic Geometry 14N35, 53D45, 14D20, 58D27 |
| url | https://arxiv.org/abs/2511.22917 |