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Real line arrangements with Hirzebruch property

Research output: Contribution to journalArticle

Original languageEnglish
Pages (from-to)2697-2711
Number of pages15
JournalGeometry & Topology
Volume22
Issue number5
Early online date1 Jun 2018
DOIs
Accepted/In press29 Jan 2018
E-pub ahead of print1 Jun 2018
PublishedJun 2018

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Abstract

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.

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