Browsing by Subject "ABELIAN-VARIETIES"
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Estimating the growth in Mordell-Weil ranks and Shafarevich-Tate groups over Lie extensions
(Springer, 2017)Let E/Q be an elliptic curve, p > 3 a good ordinary prime for E, and K∞ a p-adic Lie extension of a number field k. Under some standard hypotheses, we study the asymptotic growth in both the Mordell–Weil rank and ...