On the computation of the Picard group for $K3$ surfaces

Details On the computation of the Picard group for $K3$ surfaces On the computation of the Picard group for $K3$ surfaces

2010-06-09

arxiv.org/abs/1006.1724v1

Mathematics

Algebraic Geometry

Scientific paper

We construct examples of $K3$ surfaces of geometric Picard rank $1$. Our method is a refinement of that of R. van Luijk. It is based on an analysis of the Galois module structure on \'etale 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.

Affiliated with

Also associated with

No associations

Rating

On the computation of the Picard group for $K3$ surfaces does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the computation of the Picard group for $K3$ surfaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the computation of the Picard group for $K3$ surfaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-39401