Involutions of curves in abelian surfaces and their Jacobians
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912383491899392 |
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| author | Honigs, Katrina Sarmah, Pijush Pratim |
| author_facet | Honigs, Katrina Sarmah, Pijush Pratim |
| contents | We examine étale covers of genus two curves that occur in the linear system of a polarizing line bundle of type $(1,d)$ on a complex abelian surface. We give results counting fixed points of involutions on such curves as well as decomposing their Jacobians into isogenous products. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_06502 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Involutions of curves in abelian surfaces and their Jacobians Honigs, Katrina Sarmah, Pijush Pratim Algebraic Geometry We examine étale covers of genus two curves that occur in the linear system of a polarizing line bundle of type $(1,d)$ on a complex abelian surface. We give results counting fixed points of involutions on such curves as well as decomposing their Jacobians into isogenous products. |
| title | Involutions of curves in abelian surfaces and their Jacobians |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2504.06502 |