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The maximal singular fibres of elliptic K3 surfaces

Matthias Schuett
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Abstract

We prove that the maximal singular fibres of elliptic K3 surfaces have type I_19 and I_14* unless the characteristic of the ground field is 2. In characteristic 2, the maximal singular fibres are I_18 and I_13*. The paper supplements work of Shioda, published in 2003 and 2005.

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Matthias Schuett. 2006-03-02. The maximal singular fibres of elliptic K3 surfaces. https://arxiv.org/abs/math/0509540

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