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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2605.18469 |
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| _version_ | 1866914578368036864 |
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| author | Moretti, Federico Rojas, Andrés |
| author_facet | Moretti, Federico Rojas, Andrés |
| contents | For a smooth projective curve of genus $g$, we study some positivity properties of (twisted) rank-$g$ Picard bundles on the $g$-fold symmetric product. As an application, we prove that the degree of irrationality of any genus $g$ Jacobian is bounded from above by $2^g$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_18469 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Picard bundles and the degree of irrationality of Jacobians Moretti, Federico Rojas, Andrés Algebraic Geometry For a smooth projective curve of genus $g$, we study some positivity properties of (twisted) rank-$g$ Picard bundles on the $g$-fold symmetric product. As an application, we prove that the degree of irrationality of any genus $g$ Jacobian is bounded from above by $2^g$. |
| title | Picard bundles and the degree of irrationality of Jacobians |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2605.18469 |