A primitive derivation and logarithmic differential forms of Coxeter arrangements

Takuro Abe, Hiroaki Terao

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)813-828
Number of pages16
JournalMathematische Zeitschrift
Volume264
Issue number4
DOIs
Publication statusPublished - Apr 1 2010
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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