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- W2962695825 abstract "In this paper, we consider Abelian varieties over function fields that arise as twists of Abelian varieties by cyclic covers of irreducible quasi-projective varieties. Then, in terms of Prym varieties of the cyclic covers, we prove a structure theorem on their Mordell–Weil group. Our results give an explicit method to construct elliptic curves, hyper- and super-elliptic Jacobians that have large ranks over function fields of certain varieties." @default.
- W2962695825 created "2019-07-30" @default.
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- W2962695825 date "2019-02-01" @default.
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- W2962695825 title "The rational points on certain Abelian varieties over function fields" @default.
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- W2962695825 doi "https://doi.org/10.1016/j.jnt.2018.06.008" @default.
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