Sandwich theorems for Shioda-Inose structures
Matthias Schuett
TL;DR
This paper presents a geometric construction of three infinite series of K3 surfaces that are related to Kummer surfaces through Shioda-Inose structures, including explicit examples.
Contribution
It introduces a new geometric method to construct K3 surfaces within Shioda-Inose structures and provides explicit examples.
Findings
Constructed three infinite series of K3 surfaces.
Established their relation to Kummer surfaces via Shioda-Inose structures.
Provided explicit examples of these constructions.
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.
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Taxonomy
TopicsGeometric and Algebraic Topology · Algebraic Geometry and Number Theory · Finite Group Theory Research