The 21 reducible polars of Klein's quartic

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 $21$ lines.

30 pages, contains Singular script, to appear in Experimental Mathematics

References in corpus (9)

• Uniform Bounds and Symbolic Powers on Smooth Varieties
• Comparison of symbolic and ordinary powers of ideals
• Counterexamples to the $I^{(3)}\subset I^2$ containment
• Freeness versus maximal global Tjurina number for plane curves
• On the containment problem
• Bounded Negativity and Arrangements of Lines
• The orbifold Langer-Miyaoka-Yau inequality and Hirzebruch-type inequalities
• Harbourne constants and conic configurations on the projective plane
• Hirzebruch-type inequalities and plane curve configurations

Cited by in corpus (5)

• Conic-line arrangements in the complex projective plane
• Harbourne constants, pull-back clusters and ramified morphisms
• Klein's arrangements of lines and conics
• On Yoshinaga's arrangement of lines and the containment problem
• Bounds for characteristic numbers of conic-line arrangements in the plane