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: Shioda–Inose structures and Mordell–Weil ranks, the problem of classifying all elliptic fibrations on a given K3 surface, and supersingular K3 surfaces.
CITATION STYLE
Schütt, M., & Shioda, T. (2019). Elliptic K3 Surfaces—Special Topics. In Ergebnisse der Mathematik und ihrer Grenzgebiete (Vol. 70, pp. 317–353). Springer Verlag. https://doi.org/10.1007/978-981-32-9301-4_12
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