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arXiv · 2206.03295

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

Fabrizio Catanese·Matthias Schütt
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Abstract

We show that the maximal number of singular points of a normal quartic surface $X \subset \mathbb{P}^3_K$ 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.

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Fabrizio Catanese, Matthias Schütt. 2022-06-07. Singularities of normal quartic surfaces III (char=2, non-supersingular). https://doi.org/10.2140/tunis.2023.5.457

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