Abstract
We prove the sharp bound of at most $64$ lines on projective quartic surfaces $S \subset \mathbb{P}^3(\mathbb{C})$ (resp. affine quartics $S \subset \mathbb{C}^3$) that are not ruled by lines. We study configurations of lines on certain non-$K3$ surfaces of degree four and give various examples of singular quartics with many lines.
Citation
Víctor González-Alonso. Sławomir Rams. "Counting Lines on Quartic Surfaces." Taiwanese J. Math. 20 (4) 769 - 785, 2016. https://doi.org/10.11650/tjm.20.2016.7135
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