2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/102288We 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 ShiodaAlgebraic Geometry11G25, 14J27, 14J28text