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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: | Apr-2010 |
| Publisher: | Springer Berlin / Heidelberg |
| Journal Title: | Mathematische Zeitschrift |
| Volume: | 264 |
| Issue: | 4 |
| Start Page: | 813 |
| End Page: | 828 |
| Publisher DOI: | 10.1007/s00209-009-0489-8 |
| 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. |
| Rights: | The original publication is available at www.springerlink.com |
| Type: | article (author version) |
| URI: | http://hdl.handle.net/2115/45087 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 寺尾 宏明
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