On the maximal number of du Val singularities for a K3 surface

Authors :: Chris Peters
Discrete Algebra and Geometry
Discrete Mathematics
Source :: Geometriae Dedicata, 214, 383-388. Springer
Publication Year :: 2021
Abstract: A complex K3 surface or an algebraic K3 surface in characteristics distinct from $2$ cannot have more than $16$ disjoint nodal curves.<br />A complex K3 surface or an algebraic K3 surface in characteristics distinct from 2 cannot have more than 16 disjoint nodal curves.