Sections of Jacobian fibrations over lines
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909756783853568 |
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| author | Kollár, János Saccà, Giulia |
| author_facet | Kollár, János Saccà, Giulia |
| contents | Let $|H|$ be a linear system on a smooth surface $S$. We study the cohomology classes of sections of the universal Jacobian over lines in $|H|$. When $S$ is a K3 surface, the universal compactified Jacobian is a hyperkähler manifold, and we do not see how to reconcile our results with some of the steps in [BKV25]. v.2: Confusing typo fixed: H^g should be H^{2g}. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_09819 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Sections of Jacobian fibrations over lines Kollár, János Saccà, Giulia Algebraic Geometry Let $|H|$ be a linear system on a smooth surface $S$. We study the cohomology classes of sections of the universal Jacobian over lines in $|H|$. When $S$ is a K3 surface, the universal compactified Jacobian is a hyperkähler manifold, and we do not see how to reconcile our results with some of the steps in [BKV25]. v.2: Confusing typo fixed: H^g should be H^{2g}. |
| title | Sections of Jacobian fibrations over lines |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2508.09819 |