Some characterizations of freeness of hyperplane arrangement

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dc.creatorYoshinaga, Masahiko
dc.date2003-06-15
dc.date2004-04-16
dc.date.accessioned2026-07-07T04:58:58Z
dc.date.available2026-07-07T04:58:58Z
dc.descriptionWe will consider some characterizations of freeness of a hyperplane arrangement, in terms of the following properties: locally freeness, factorization of characteristic polynomial and freeness of restricted multiarrangement. In the case of 3-arrangement, freeness is characterized by factorization of characteristic polynomial and coincidence of its roots with exponents of restricted multiarrangement. In the case of higher dimension, it is characterized by a kind of locally freeness and freeness of restricted multiarrangement. As an application, we prove the freeness of certain arrangements which is conjectured by Edelman and Reiner.
dc.identifierhttps://arxiv.org/abs/math/0306228
dc.identifierhttp://arxiv.org/abs/math/0306228
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67798
dc.subjectCombinatorics
dc.subjectAlgebraic Geometry
dc.subject52C35; 20F55
dc.titleSome characterizations of freeness of hyperplane arrangement
dc.typetext

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