Fields of definition of singular K3 surfaces
Algebraic Geometry
2007-05-23 v2 Number Theory
Abstract
This paper gives upper and lower bounds for the degree of the field of definition of a singular K3 surface, generalising a recent result by Shimada. We use work of Shioda-Mitani and Shioda-Inose and classical theory of complex multiplication.
Cite
@article{arxiv.math/0612396,
title = {Fields of definition of singular K3 surfaces},
author = {Matthias Schuett},
journal= {arXiv preprint arXiv:math/0612396},
year = {2007}
}
Comments
11 pages, 1 table; v2: incorporated referee's comments, moved CM-section