An algorithm for checking injectivity of specialization maps from elliptic surfaces
نویسندگان
چکیده
Let E/Q(t) be an elliptic curve and let t0∈Q a rational number for which the specialization Et0 is curve. Given subgroup M of E(Q(t)) with mild conditions coming from relatively large subset SM⊂Q, we provide algorithm that can show map σt0:E(Q(t))→Et0(Q) injective when restricted to M. The set SM effectively computable in certain cases, carry out this computation some explicit examples where E given by Weierstrass equation.
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ژورنال
عنوان ژورنال: Journal of Number Theory
سال: 2022
ISSN: ['0022-314X', '1096-1658']
DOI: https://doi.org/10.1016/j.jnt.2021.11.002