A primitive derivation and logarithmic differential forms of Coxeter arrangements
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概要
- 論文の詳細を見る
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.
- Springer Berlin / Heidelbergの論文
著者
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寺尾 宏明
北海道大学理学部数学科
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Terao Hiroaki
International Christian University
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Terao Hiroaki
Department Of Mathematics International Christian University
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Terao Hiroaki
Department Of Mathematics University Of Wisconsin
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