Singularities of normal quartic surfaces III (char=2, non-supersingular)

Abstract

We show that the maximal number of singular points of a normal quartic surface $X\subset {\mathbb{P}}_K^3$ defined over an algebraically closed field $K$ of characteristic 2 is at most 12, if the minimal resolution of $X$ is not a supersingular K3 surface. We also provide a family of explicit examples, valid in any characteristic.

21 pages

References in corpus (1)

• At most 64 lines on smooth quartic surfaces (characteristic 2)