Abstract
Let A/ℚ(T) be a non-trivial ℚ (T)/ℚ cyclic twist of an abelian variety defined over ℚ, and let Γ ⊂ A(ℚ(T)) be an indivisible subgroup of A(ℚ(T)). We show that for almost all (in the sense of density) t ∈ Z, the specialization Γ t ⊂ A t (ℚ)is indivisible in A t (ℚ) and similarly for t ∈ ℚ.
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© 1999 Kluwer Academic Publishers
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Silverman, J.H. (1999). Divisibility of the Specialization Map for Twists of Abelian Varieties. In: Ahlgren, S.D., Andrews, G.E., Ono, K. (eds) Topics in Number Theory. Mathematics and Its Applications, vol 467. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0305-3_17
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DOI: https://doi.org/10.1007/978-1-4613-0305-3_17
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-7988-1
Online ISBN: 978-1-4613-0305-3
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