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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2410.03664 |
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| _version_ | 1866910633322086400 |
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| author | Abdellatif, Raghda |
| author_facet | Abdellatif, Raghda |
| contents | We construct three families of pairs of genus 2 curves over a field K, whose Jacobians are isomorphic as unpolarized abelian varieties. Each family is parameterized by an open subset of the Projective line over K. Our construction is based on a remark in a paper by Howe. Later, we describe an obstruction to perusing the same technique over Q. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_03664 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Families of Pairs of Genus 2 Curves with Isomorphic Unpolarized Jacobians Abdellatif, Raghda Algebraic Geometry We construct three families of pairs of genus 2 curves over a field K, whose Jacobians are isomorphic as unpolarized abelian varieties. Each family is parameterized by an open subset of the Projective line over K. Our construction is based on a remark in a paper by Howe. Later, we describe an obstruction to perusing the same technique over Q. |
| title | Families of Pairs of Genus 2 Curves with Isomorphic Unpolarized Jacobians |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2410.03664 |