A generalized logarithmic module and duality of Coxeter multiarrangements

Abe, Takuro

Hokkaido University Preprint Series in Mathematics, 2008, 919, 1-17

Permalink : https://doi.org/10.14943/84068

このアイテムのアクセス数:718件（2026-08-15 05:10 集計）

ファイル	フォーマット	サイズ	閲覧回数	説明
re919	pdf	170 KB	383

アクセス権	open access
DOI	https://doi.org/10.14943/84068
URI	https://hdl.handle.net/2115/69726
タイトル	A generalized logarithmic module and duality of Coxeter multiarrangements
著者	著者名 Abe, Takuro
言語	英語
発行日	2008-07-16
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	919
ページ	1-17
抄録	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.
資源タイプ	紀要論文
出版タイプ	Version of Record