The maximal singular fibres of elliptic K3 surfaces
arXiv:math/0509540
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.
10 pages; incorporated referee's comments; in particular added a reference to a recent publication of Shioda