Galois embedding of K3 surface --abelian case--
Algebraic Geometry
2011-04-12 v1
Abstract
We study Glois embeddings of K3 surfaces in the case where the Galois groups are abelian. We show several properties of K3 surfaces concerning the Galois embeddings. In particular, if the Galois group G is abelian, then G is isomorphic to Z/4Z, Z/6Z or Z/2Z\oplusZ/2Z\oplusZ/2Z and S is a smooth complete intersection of hypersurfaces. Further, we state the detailed structure of such surfaces.
Cite
@article{arxiv.1104.1674,
title = {Galois embedding of K3 surface --abelian case--},
author = {Hisao Yoshihara},
journal= {arXiv preprint arXiv:1104.1674},
year = {2011}
}