Geodesic
On special algebraic K3 surfaces.~I
Izvestiya. Mathematics , Tome 7 (1973) no. 4, pp. 833-846.

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In this paper we describe algebraic K3 surfaces on which lie hyperelliptic curves. We prove a direct and an inverse theorem on the representation of such surfaces as a double plane. We explain the connection between surfaces of this type and elliptic surfaces. 
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I. V. Dolgachev. On special algebraic K3 surfaces.~I. Izvestiya. Mathematics , Tome 7 (1973) no. 4, pp. 833-846. http://geodesic.mathdoc.fr/item/IM2_1973_7_4_a4/

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