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A surface is a two-dimensional topological manifold. The term can also be used to describe a smooth surface, depending on the context.

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Does there exist a surface over a finite field which contains three skew lines?

Does there exist an irreducible surface, other than Hermitian surface, in $\mathbb{P}^3 (\mathbb{F}_q)$ containing three skew lines? I know that this is true for Hermitian surface. In fact, at every …