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Abstract: We explicitly determine the elliptic K3 surfaces with a maximal singularfibre. If the characteristic of the ground field is different from 2, for eachof the two possible maximal fibre types, $I {19}$ and $I^* {14}$, the surfaceis unique. In characteristic 2 the maximal fibre types are $I {18}$ and$I^* {13}$, and there exist two resp. one one-parameter families of suchsurfaces.



Author: Matthias Schuett, Andreas Schweizer

Source: https://arxiv.org/







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