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dc.contributor.authorHoge, Torsten
dc.contributor.authorRöhrle, Gerhard
dc.date.accessioned2017-07-20T11:40:27Z
dc.date.available2017-07-20T11:40:27Z
dc.date.issued2017-04-30
dc.identifier.urihttp://publications.mfo.de/handle/mfo/1293
dc.descriptionMSC: 20F55; 51F15; 52C35; 14N20; 32S22; 51D20en_US
dc.descriptionResearch in Pairs 2017en_US
dc.description.abstractLet $A$ be a free hyperplane arrangement. In 1989, Ziegler showed that the restriction $A''$ of $A$ to any hyperplane endowed with the natural multiplicity is then a free multiarrangement. We initiate a study of the stronger freeness property of inductive freeness for these canonical free multiarrangements and investigate them for the underlying class of reflection arrangements. More precisely, let $A = A(W)$ be the reflection arrangement of a complex reflection group $W$. By work of Terao, each such reflection arrangement is free. Thus so is Ziegler's canonical multiplicity on the restriction $A''$ of $A$ to a hyperplane. We show that the latter is inductively free as a multiarrangement if and only if $A''$ itself is inductively free.en_US
dc.language.isoen_USen_US
dc.publisherMathematisches Forschungsinstitut Oberwolfachen_US
dc.relation.ispartofseriesOberwolfach Preprints;2017,14
dc.subjectMultiarrangementen_US
dc.subjectZiegler multiplicityen_US
dc.subjectFree arrangementen_US
dc.subjectInductively free arrangementen_US
dc.subjectReflection arrangementen_US
dc.subjectCombinatoricsen_US
dc.subjectGroup Theoryen_US
dc.titleInductive Freeness of Ziegler’s Canonical Multiderivations for Reflection Arrangementsen_US
dc.typePreprinten_US
dc.rights.licenseDieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.de
dc.rights.licenseThis document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.en
dc.identifier.doi10.14760/OWP-2017-14
local.scientificprogramResearch in Pairs 2017en_US
local.series.idOWP-2017-14
local.subject.msc20
local.subject.msc51
local.subject.msc52
local.subject.msc14
local.subject.msc32
dc.identifier.urnurn:nbn:de:101:1-201705102198
dc.identifier.ppn1658017692


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