Sandwich theorems for Shioda-Inose structures

2011/09/27 by Matthias Schuett, Schuett, Matthias
Mathematics · #11G25 #14G15 #14J28 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:11G25 #msc:14G15 #msc:14J28

paper · pdf · doi:10.48550/arxiv.1109.5988

12 pages; v2: 3.6, 3.7 added

arxiv created 2012/02/22 · arxiv updated 2012/02/23

Abstract

We give a geometric construction of the three infinite series of K3 surfaces which are sandwiched by Kummer surfaces within a Shioda-Inose structure. Explicit examples are also provided.

Related

• On K3 surfaces which dominate Kummer surfaces
• Double covers of Kummer surfaces
• Generalized Shioda--Inose structures of order 3
• Elliptic K3 surfaces admitting a Shioda-Inose structure
• Kummer structures on a K3 surface - An old question of T. Shioda