On the computation of the Picard group for K3 surfaces
نویسندگان
چکیده
We construct examples of K3 surfaces of geometric Picard rank 1. Our method is a refinement of that of R. van Luijk [vL]. It is based on an analysis of the Galois module structure on étale cohomology. This allows to abandon the original limitation to cases of Picard rank 2 after reduction modulo p. Furthermore, the use of Galois data enables us to construct examples which require significantly less computation time.
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تاریخ انتشار 2009