On Isogenies Among Certain Abelian Surfaces
نویسندگان
چکیده
We construct a three-parameter family of nonhyperelliptic and bielliptic plane genus-three curves whose associated Prym variety is two-isogenous to the Jacobian general hyperelliptic genus-two curve. Our construction based on existence special elliptic fibrations with section Kummer surfaces that provide simple geometric interpretation for rational double cover induced by two-isogeny between Abelian surfaces.
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ژورنال
عنوان ژورنال: Michigan Mathematical Journal
سال: 2021
ISSN: ['0026-2285', '1945-2365']
DOI: https://doi.org/10.1307/mmj/20195790