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A generalized logarithmic module and duality of Coxeter multiarrangements
Title: | A generalized logarithmic module and duality of Coxeter multiarrangements |
Authors: | Abe, Takuro Browse this author |
Issue Date: | 16-Jul-2008 |
Publisher: | Department of Mathematics, Hokkaido University |
Journal Title: | Hokkaido University Preprint Series in Mathematics |
Volume: | 919 |
Start Page: | 1 |
End Page: | 17 |
Abstract: | We 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. |
Type: | bulletin (article) |
URI: | http://hdl.handle.net/2115/69726 |
Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
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Submitter: 数学紀要登録作業用
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