The Picard group of a K3 surface and its reduction modulo p
classification
🧮 math.AG
keywords
picardmethodrankreductionsurfacebeliefcomputecontrary
read the original abstract
We present a method to compute the geometric Picard rank of a $K3$ surface over $\bbQ$. Contrary to a widely held belief, we show it is possible to verify Picard rank $1$ using reduction only at a single prime. Our method is based on deformation theory for invertible sheaves.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.