Geometry of Prym varieties for certain bielliptic curves of genus three and five

نویسندگان

چکیده

We construct two pencils of bielliptic curves genus three and five. The first pencil is associated with a general abelian surface polarization type $(1,2)$. second related to the by an unramified double cover, Prym variety which canonically isomorphic Jacobian very curve two. Our results are obtained analyzing suitable elliptic fibrations on Kummer surfaces rational covers among them.

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ژورنال

عنوان ژورنال: Pure and Applied Mathematics Quarterly

سال: 2021

ISSN: ['1558-8599', '1558-8602']

DOI: https://doi.org/10.4310/pamq.2021.v17.n5.a5