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dc.contributor.authorHoge, Torsten
dc.contributor.authorMano, Toshiyuki
dc.contributor.authorRöhrle, Gerhard
dc.contributor.authorStump, Christian
dc.date.accessioned2017-07-12T08:34:09Z
dc.date.available2017-07-12T08:34:09Z
dc.date.issued2017-04-20
dc.identifier.urihttp://publications.mfo.de/handle/mfo/1290
dc.descriptionMSC: 20F55; 52C35; 14N20; 32S25en_US
dc.descriptionResearch in Pairs 2017en_US
dc.description.abstractIn 2002, Terao showed that every reflection multi-arrangement of a real reflection group with constant multiplicity is free by providing a basis of the module of derivations. We first generalize Terao's result to multi-arrangements stemming from well-generated unitary reflection groups, where the multiplicity of a hyperplane depends on the order of its stabilize. Here the exponents depend on the exponents of the dual reflection representation. When then extend our results further to all imprimitive irreducible unitary reflection groups. In this case the exponents turn out to depend on the exponents of a certain Galois twist of the dual reflection representation that comes from a Beynon-Lusztig type semi-palindromicity of fake degrees.en_US
dc.language.isoen_USen_US
dc.publisherMathematisches Forschungsinstitut Oberwolfachen_US
dc.relation.ispartofseriesOberwolfach Preprints;2017,10
dc.subjectmulti-arrangementen_US
dc.subjectreflection arrangementen_US
dc.subjectunitary reflection groupen_US
dc.subjectsystems of flat invariants and derivationsen_US
dc.subjectfree arrangementen_US
dc.titleFreeness of Multi-Reflection Arrangements via Primitive Vector Fieldsen_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-2017-10
local.scientificprogramResearch in Pairs 2017en_US
local.series.idOWP-2017-10
local.subject.msc20
local.subject.msc52
local.subject.msc14
local.subject.msc32
dc.identifier.urnurn:nbn:de:101:1-201705102172
dc.identifier.ppn1658016777


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