This article is cited in 5 papers

On special algebraic K3 surfaces. I

I. V. Dolgachev


Abstract: 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.

UDC: 513.6

MSC: Primary 14J25; Secondary 14J10

Received: 14.09.1972

 English version: Mathematics of the USSR-Izvestiya, 1973, 7:4, 833–846

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