Abstract
In this chapter, we discuss more specific topics from the theory of elliptic K3 surfaces which often have a more arithmetic flavour. Our focus lies especially on three subjects: \(\bullet \) Shioda–Inose structures and Mordell–Weil ranks, \(\bullet \) the problem of classifying all elliptic fibrations on a given K3 surface, and \(\bullet \) supersingular K3 surfaces.
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