A generalized logarithmic module and duality of Coxeter multiarrangements

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dc.creatorAbe, Takuro
dc.date2008-07-16
dc.date.accessioned2026-07-07T09:50:43Z
dc.date.available2026-07-07T09:50:43Z
dc.descriptionWe introduce a new definition of a generalized logarithmic module of multiarrangements by uniting those of the logarithmic derivation and the differential modules. This module is realized as a logarithmic derivation module of an arrangement of hyperplanes with a multiplicity consisting of both positive and negative integers. We consider several properties of this module including Saito's criterion and reflexivity. As applications, we prove a shift isomorphism and duality of some Coxeter multiarrangements by using the primitive derivation.
dc.description17 pages
dc.identifierhttps://arxiv.org/abs/0807.2552
dc.identifierhttp://arxiv.org/abs/0807.2552
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/165038
dc.subjectCommutative Algebra
dc.subjectAlgebraic Geometry
dc.subject32S22
dc.titleA generalized logarithmic module and duality of Coxeter multiarrangements
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