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. 
@article{IM2_1973_7_4_a4,
     author = {I. V. Dolgachev},
     title = {On special algebraic {K3} {surfaces.~I}},
     journal = {Izvestiya. Mathematics },
     pages = {833--846},
     publisher = {mathdoc},
     volume = {7},
     number = {4},
     year = {1973},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1973_7_4_a4/}
}
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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/