K3 Surfaces of Picard Rank One and Degree Two

Abstract

Examples 1. A K3 surface of degree two is a double cover of P, ramified in a smooth sextic. K3 surfaces of degree four are smooth quartics in P. A K3 surface of degree six is a smooth complete intersection of a quadric and a cubic in P. And, finally, K3 surfaces of degree eight are smooth complete intersections of three quadrics in P. The Picard group of a… (More)
DOI: 10.1007/978-3-540-79456-1_14

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Cite this paper

@inproceedings{Elsenhans2008K3SO, title={K3 Surfaces of Picard Rank One and Degree Two}, author={Andreas-Stephan Elsenhans and J{\"o}rg Jahnel}, booktitle={ANTS}, year={2008} }