Galois embedding of K3 surface --abelian case--

2011/04/09 by Hisao Yoshihara, Yoshihara, Hisao
Mathematics · #14N05 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1104.1674

openalex publication_date 2011/04/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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