Not all free arrangements are K(π, 1)

Paul H. Edelman, Victor Reiner

Research output: Contribution to journalComment/debatepeer-review

4 Scopus citations


We produce a one-parameter family of hyperplane arrangements that are counterexamples to the conjecture of Saito that the complexified complement of a free arrangement is K(π, 1). These arrangements are the restriction of a one-parameter family of arrangements that arose in the study of tilings of certain centrally symmetric octagons. This other family is discussed as well.

Original languageEnglish (US)
Pages (from-to)61-65
Number of pages5
JournalBulletin of the American Mathematical Society
Issue number1
StatePublished - Jan 1995


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