Examples of $K3$ surfaces with real multiplication
Algebraic Geometry
2014-08-13 v2
Abstract
We construct explicit examples of surfaces over having real multiplication. Our examples are of geometric Picard rank 16. The standard method for the computation of the Picard rank provably fails for the surfaces constructed.
Cite
@article{arxiv.1402.4555,
title = {Examples of $K3$ surfaces with real multiplication},
author = {Andreas-Stephan Elsenhans and Jörg Jahnel},
journal= {arXiv preprint arXiv:1402.4555},
year = {2014}
}