The 21 reducible polars of Klein's quartic
Piotr Pokora, Joaquim Ro\'e
TL;DR
This paper investigates the singularities and properties of the 21 reducible polar arrangements of Klein's quartic, expanding understanding of their geometric and algebraic structure beyond the classical line arrangement.
Contribution
It provides a detailed analysis of the singularities and geometric features of the 21 reducible polars of Klein's quartic, including their relation to Klein's line arrangement.
Findings
Identification of singularities in the reducible polar arrangement
Description of geometric properties of the arrangement
Relation to Klein's classical line arrangement
Abstract
We describe the singularities and related properties of the arrangement of 21 reducible polars of Klein's quartic, containing Klein's well-known arrangement of lines.
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