Abstract

We show, in this third part, 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 $\mathrm{K3}<!--FUNCTION\; APPLICATION-->$ surface. We also provide a family of explicit examples, valid in any characteristic.

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