The field of moduli of singular K3 surfaces
Algebraic Geometry
2017-11-22 v2 Number Theory
Abstract
We study the field of moduli of singular abelian and K3 surfaces. We discuss both the field of moduli over the CM field and over . We also discuss non-finiteness with respect to the degree of the field of moduli. Finally, we provide an explicit approach to the computation of the field of moduli.
Keywords
Cite
@article{arxiv.1601.05579,
title = {The field of moduli of singular K3 surfaces},
author = {Roberto Laface},
journal= {arXiv preprint arXiv:1601.05579},
year = {2017}
}
Comments
22 pages. It has been pointed out that Proposition 6.1 in the previous version contained a gap, which we fix in this new and updated version. Incidentally, we also use this idea to improve our results on the absolute field. Title has changed. Comments are still welcome!