Maximal number of skew lines on Fermat surfaces
Year: 2025
Type: article
Abstract: It is well known that the Fermat surface of degree d\geq 3 has 3d^{2} lines. However, it has not yet been established what is the maximal number of pairwise disjoint lines that it can have if d\geq 4 . In this article, we show that the maximal number of skew lines on the Fermat surface of degree d\geq 4 is 3d , either d even or d odd distinct of 5, otherwise ( d=5 ) it contains no more than 13 pairwise disjoint lines.
Source: Portugaliae Mathematica
DOI: 10.4171/pm/2150
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4413805938