Cox rings of K3 surfaces with Picard number two

2009/09/28 by John Christian Ottem, Ottem, John Christian
Mathematics · #14J28 #14M17 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14J28 #msc:14M17

paper · pdf · doi:10.48550/arxiv.0909.5121

10 Pages. v2: Paper completely rewritten. Several new results added

arxiv created 2012/08/30 · arxiv updated 2012/08/31

Abstract

We study generators and relations of Cox rings of K3 surfaces of Picard number two. In particular we consider the Cox rings of classical examples of K3 surfaces, such as quartic surfaces containing a line and elliptic K3 surfaces.

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