Primitive filtrations of the modules of invariant logarithmic forms of Coxeter arrangements

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We define primitive derivations for Coxeter arrangements which may not be irreducible. Using those derivations, we introduce the primitive filtrations of the module of invariant logarithmic differential forms for an arbitrary Coxeter arrangement with an arbitrary multiplicity. In particular, when the Coxeter arrangement is irreducible with a constant multiplicity, the primitive filtration was studied in [2], which generalizes the Hodge filtration introduced by K. Saito (e.g., [6]).

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詳細情報

  • CRID
    1050845763937367040
  • NII論文ID
    120002834745
  • HANDLE
    2115/45014
  • ISSN
    00218693
  • 本文言語コード
    en
  • 資料種別
    journal article
  • データソース種別
    • IRDB
    • CiNii Articles
    • KAKEN

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