Prym maps of cyclic coverings of hyperelliptic curves
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866914218205249536 |
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| author | Borówka, Paweł Naranjo, Juan Carlos Ortega, Angela Shatsila, Anatoli |
| author_facet | Borówka, Paweł Naranjo, Juan Carlos Ortega, Angela Shatsila, Anatoli |
| contents | We prove that the Prym map corresponding to étale cyclic coverings of hyperelliptic curves is injective whenever the degree of the covering $d \geq 6$ is not a power of an odd prime. For other degrees $d\geq 9$, we show that the Prym map is generically injective. In particular, we complete the study of Prym maps of étale cyclic coverings of genus 2 curves. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_01330 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Prym maps of cyclic coverings of hyperelliptic curves Borówka, Paweł Naranjo, Juan Carlos Ortega, Angela Shatsila, Anatoli Algebraic Geometry 14H40, 14H30, 14H45, 14K12 We prove that the Prym map corresponding to étale cyclic coverings of hyperelliptic curves is injective whenever the degree of the covering $d \geq 6$ is not a power of an odd prime. For other degrees $d\geq 9$, we show that the Prym map is generically injective. In particular, we complete the study of Prym maps of étale cyclic coverings of genus 2 curves. |
| title | Prym maps of cyclic coverings of hyperelliptic curves |
| topic | Algebraic Geometry 14H40, 14H30, 14H45, 14K12 |
| url | https://arxiv.org/abs/2510.01330 |