Geodesic
Torsion and endomorphisms of Abelian varieties over infinite extensions of number fields
Izvestiya. Mathematics , Tome 38 (1992) no. 3, pp. 647-657

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The author studies abelian varieties with infinite torsion in infinite extensions $L$ of a number field $K$ for which the Galois group $\operatorname{Gal}(L/K)$ is a compact $l$-adic Lie group. 
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     author = {Yu. G. Zarhin},
     title = {Torsion and endomorphisms of {Abelian} varieties over infinite extensions of number fields},
     journal = {Izvestiya. Mathematics },
     pages = {647--657},
     publisher = {mathdoc},
     volume = {38},
     number = {3},
     year = {1992},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1992_38_3_a10/}
}
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Yu. G. Zarhin. Torsion and endomorphisms of Abelian varieties over infinite extensions of number fields. Izvestiya. Mathematics , Tome 38 (1992) no. 3, pp. 647-657. http://geodesic.mathdoc.fr/item/IM2_1992_38_3_a10/