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A primitive derivation and logarithmic differential forms of Coxeter arrangements
| Title: | A primitive derivation and logarithmic differential forms of Coxeter arrangements |
| Authors: | Abe, Takuro Browse this author | | Terao, Hiroaki Browse this author |
| Issue Date: | 1-Oct-2008 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 929 |
| Start Page: | 1 |
| End Page: | 21 |
| Abstract: | Let W be a finite irreducible real reflection group, which is a Coxeter roup. We explicitly construct a basis for the module of differential -forms with logarithmic poles along the Coxeter arrangement by sing a primitive derivation. As a consequence, we extend the Hodge iltration, indexed by nonnegative integers, into a filtration indexed by ll integers. This filtration coincides with the filtration by the order f poles. The results are translated into the derivation case. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69737 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
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Submitter: 数学紀要登録作業用
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