The maximal singular fibres of elliptic K3 surfaces

Details The maximal singular fibres of elliptic K3 surfaces The maximal singular fibres of elliptic K3 surfaces

2005-09-23

arxiv.org/abs/math/0509540v2

Arch. Math. 79, 4 (2006), pp. 309-319.

Mathematics

Algebraic Geometry

10 pages; incorporated referee's comments; in particular added a reference to a recent publication of Shioda

Scientific paper

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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