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- W4300464070 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 associated to the cyclic covers, we prove a structure theorem on their Mordell-Weil group. Our results give an explicit method for construction of elliptic curves, hyper- and super-elliptic Jacobians that have large ranks over function fields of certain varieties." @default.
- W4300464070 created "2022-10-03" @default.
- W4300464070 creator A5040492805 @default.
- W4300464070 date "2017-08-03" @default.
- W4300464070 modified "2023-10-17" @default.
- W4300464070 title "The rational points on certain Abelian varieties over function fields" @default.
- W4300464070 doi "https://doi.org/10.48550/arxiv.1708.01192" @default.
- W4300464070 hasPublicationYear "2017" @default.
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