Ask a Question

Prefer a chat interface with context about you and your work?

SELMER GROUPS OVER $p$-ADIC LIE EXTENSIONS I

SELMER GROUPS OVER $p$-ADIC LIE EXTENSIONS I

Let $E$ be an elliptic curve defined over a number field $F$. In this paper, we study the structure of the $p^\infty$-Selmer group of $E$ over $p$-adic Lie extensions $F_\infty$ of $F$ which are obtained by adjoining to $F$ the $p$-division points of an abelian variety $A$ defined over $F$. …