## Tokyo Journal of Mathematics

### On the Krull-Schmidt Decomposition of Mordell-Weil Groups

Daniel MACIAS CASTILLO

#### Abstract

Let $A$ be an abelian variety defined over a number field $k$ and $p$ a prime number. Under some natural and not-too-stringent conditions on $A$ and $p$ we show that certain invariants associated to Iwasawa-theoretic $p$-adic Selmer groups control the Krull-Schmidt decompositions of the $p$-adic completions of the groups of points of $A$ over finite extensions of $k$.

#### Article information

Source
Tokyo J. Math., Volume 40, Number 2 (2017), 353-378.

Dates
First available in Project Euclid: 9 January 2018

https://projecteuclid.org/euclid.tjm/1515466831

Mathematical Reviews number (MathSciNet)
MR3743724

Zentralblatt MATH identifier
06855940

#### Citation

MACIAS CASTILLO, Daniel. On the Krull-Schmidt Decomposition of Mordell-Weil Groups. Tokyo J. Math. 40 (2017), no. 2, 353--378. https://projecteuclid.org/euclid.tjm/1515466831

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