Not all free arrangements are $K(π,1)$

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dc.creatorEdelman, Paul H.
dc.creatorReiner, Victor
dc.date1995-01-01
dc.date.accessioned2026-07-07T09:15:15Z
dc.date.available2026-07-07T09:15:15Z
dc.descriptionWe 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.
dc.description5 pages
dc.identifierhttps://arxiv.org/abs/math/9501229
dc.identifierhttp://arxiv.org/abs/math/9501229
dc.identifierBull. Amer. Math. Soc. (N.S.) 32 (1995) 61-65
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152957
dc.subjectAlgebraic Topology
dc.subjectCombinatorics
dc.titleNot all free arrangements are $K(π,1)$
dc.typetext

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