Yang Jingen.ON QUINTIC K-3 SURFACES[J].Chinese Annals of Mathematics B,1991,12(2):181~191
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Authors：
Yang Jingen;
Foundation：
Supported by the National Natural Science Fundation of China
Abstract：
If a non-normal quintic surface is birational to a K3 surface, then there are three possibilities: either it is singular along a conic; or it is singular along two mutually intersecting lines; or it is singular along a line and has an isolated triple point outside the line. Conversely if a K3 surface contains a hyperelliptic curve o￡ genus three with a node or simple cusp, then it is birational to a quintic surface of the first type mentioned above. For the other two cases, the minimal models are also characterized.
