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arXiv · 0712.3873

On the uniqueness of elliptic K3 surfaces with maximal singular fibre

Matthias Schuett·Andreas Schweizer
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Abstract

We explicitly determine the elliptic K3 surfaces with a maximal singular fibre. If the characteristic of the ground field is different from 2, for each of the two possible maximal fibre types, $I_{19}$ and $I^*_{14}$, the surface is unique. In characteristic 2 the maximal fibre types are $I_{18}$ and $I^*_{13}$, and there exist two (resp. one) one-parameter families of such surfaces.

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Matthias Schuett, Andreas Schweizer. 2011-01-06. On the uniqueness of elliptic K3 surfaces with maximal singular fibre. https://arxiv.org/abs/0712.3873

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