Browsing by Subject "ABELIAN-VARIETIES"

Now showing items 1-1 of 1

Estimating the growth in Mordell-Weil ranks and Shafarevich-Tate groups over Lie extensions

Delbourgo, Daniel; Lei, Antonio (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 ...