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Projective surfaces with many skew lines
Authors:Slawomir Rams
Institution:Institute of Mathematics UJ, ul. Reymonta 4, 30-059 Kraków, Poland
Abstract:We give an example of a smooth surface ${S}_{d}\subset \mathbb{P} _{3}(\mathbb{C} )$ of degree $d$that contains $d \cdot (d-2) + 2$pairwise disjoint lines. In particular, our example shows that the degree in Miyaoka's bound is sharp.

Keywords:Miyaoka's bound  skew lines
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