Complex Multiplication for K3 Surfaces
Algebraic Geometry
2007-05-23 v1 Number Theory
Abstract
In this note we prove analogues of the main theorems of complex multiplication for abelian varieties for K3 surfaces. This is done by studying the field of definition of the period morphism for complex K3 surfaces. More precisely we relate the moduli spaces of primitively polarized K3 surfaces with level structures over , constructed using algebraic stacks, to the canonical model of the Shimura variety associated to .
Cite
@article{arxiv.math/0508018,
title = {Complex Multiplication for K3 Surfaces},
author = {Jordan Rizov},
journal= {arXiv preprint arXiv:math/0508018},
year = {2007}
}
Comments
30 pages, LaTeX