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Arithmetic statistics of Prym surfaces
We consider a family of abelian surfaces over [Formula: see text] arising as Prym varieties of double covers of genus-1 curves by genus-3 curves. These abelian surfaces carry a polarization of type (1, 2) and we show that the average size of the Selmer group of this polarization equals 3. Moreover w...
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| Formato: | Online Artículo Texto |
| Lenguaje: | English |
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Springer Berlin Heidelberg
2022
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| Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10163148/ https://www.ncbi.nlm.nih.gov/pubmed/37162801 http://dx.doi.org/10.1007/s00208-022-02398-5 |