NOT ALL FREE ARRANGEMENTS ARE K(PI,1)

Authors
EDELMAN PH REINER V
Citation
Ph. Edelman et V. Reiner, NOT ALL FREE ARRANGEMENTS ARE K(PI,1), Bulletin, new series, of the American Mathematical Society, 32(1), 1995, pp. 61-65
Citations number
16
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Bulletin, new series, of the American Mathematical Society → ACNP
ISSN journal
02730979
Volume
32
Issue
1
Year of publication
1995
Pages
61 - 65
Database
ISI
SICI code
0273-0979(1995)32:1<61:NAFAAK>2.0.ZU;2-T
Abstract
We produce a one-parameter family of hyperplane arrangements that are counterexamples to the conjecture of Saito that the complexified compl ement of a free arrangement is K(pi, 1). These arrangements are the re striction of a one-parameter family of arrangements that arose in the study of tilings of certain centrally symmetric octagons. This other f amily is discussed as well.