Real line arrangements with Hirzebruch property

Dmitri Panov*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)
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A line arrangement of 3n lines in ℂP2 satisfies the Hirzebruch property if each line intersect others in n + 1 points. Hirzebruch asked in 1985 if all such arrangements are related to finite complex reflection groups. We give a positive answer to this question in the case when the line arrangement in ℂP2 is real, confirming that there exist exactly four such arrangements.

Original languageEnglish
Pages (from-to)2697-2711
Number of pages15
JournalGeometry & Topology
Issue number5
Early online date1 Jun 2018
Publication statusPublished - Jun 2018


  • Complex reflection groups
  • Kähler metrics
  • Line arrangements
  • Polyhedral manifolds


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