The 21 Reducible Polars of Klein’s Quartic

Piotr Pokora*, Joaquim Roé

*Corresponding author for this work

Research output: Contribution to journalArticleResearchpeer-review

5 Citations (Scopus)


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.

Original languageAmerican English
JournalExperimental Mathematics
Publication statusE-pub ahead of print - 7 Jan 2019


  • 14H50; 14C17, 14J26, 14C20, 14N05, 14E05, 13A15, 13F20
  • freeness
  • Klein quartic curve
  • line arrangements
  • plane curve arrangements
  • symbolic and ordinary powers of ideals


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