A primitive derivation and logarithmic differential forms of Coxeter arrangements

Takuro Abe, Hiroaki Terao

研究成果: Contribution to journalArticle査読

5 被引用数 (Scopus)

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.

本文言語英語
ページ(範囲)813-828
ページ数16
ジャーナルMathematische Zeitschrift
264
4
DOI
出版ステータス出版済み - 4 2010
外部発表はい

All Science Journal Classification (ASJC) codes

  • 数学 (全般)

フィンガープリント

「A primitive derivation and logarithmic differential forms of Coxeter arrangements」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

引用スタイル