Geodesic
Some families of Abelian surfaces
Izvestiya. Mathematics , Tome 60 (1996) no. 5, pp. 1083-1093.

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It is proved that for all algebraic curves $\Gamma$ that are coverings of given degree $n$ of a given curve $\Gamma_0$ and all non-constant families of “false elliptic curves” over $\Gamma$, their generic fibres belong to only finitely many types up to isomorphism over the algebraic closure of the field of rational functions on $\Gamma$. Applications to the theory of K3 surfaces are mentioned. 
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I. R. Shafarevich. Some families of Abelian surfaces. Izvestiya. Mathematics , Tome 60 (1996) no. 5, pp. 1083-1093. http://geodesic.mathdoc.fr/item/IM2_1996_60_5_a9/

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