A primitive derivation and logarithmic differential forms of Coxeter arrangements

• Abe, Takuro

• Terao, Hiroaki

抄録

Let W be a finite irreducible real reflection group, which is a Coxeter group. We explicitly construct a basis for the module of differential 1-forms with logarithmic poles along the Coxeter arrangement by using a primitive derivation. As a consequence, we extend the Hodge filtration, indexed by nonnegative integers, into a filtration indexed by all integers. This filtration coincides with the filtration by the order of poles. The results are translated into the derivation case.

収録刊行物

• Mathematische Zeitschrift

  Mathematische Zeitschrift 264 (4), 813-828, 2010-04

  Springer Berlin / Heidelberg

詳細情報

• CRID: 1050845763935879168
• NII論文ID: 120002834671
• HANDLE: 2115/45087
• ISSN: 00255874
• 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