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arXiv · 1902.05133

Counting lines on projective surfaces

Thomas Bauer·Slawomir Rams
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Abstract

We prove a bound on the number of lines on a smooth degree-d surface in three-dimensional projective space for $d \geq 3$. This bound improves a bound due to Segre and renders some of his arguments rigorous. It is the best known bound for $d \geq 6$.

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Thomas Bauer, Slawomir Rams. 2019-02-13. Counting lines on projective surfaces. https://arxiv.org/abs/1902.05133

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