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The e-multiplicity and addition-deletion theorems for multiarrangements
| Title: | The e-multiplicity and addition-deletion theorems for multiarrangements |
| Authors: | Abe, Takuro Browse this author | | Terao, Hiroaki Browse this author | | Wakefield, Max Browse this author |
| Issue Date: | 23-Dec-2006 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 823 |
| Start Page: | 1 |
| End Page: | 16 |
| Abstract: | The addition-deletion theorems for hyperplane arrangements, which were originally shown in [T1], provide useful ways to construct examples of free arrangements. In this article, we prove addition-deletion theorems for multiarrangements. A key to the generalization is the definition of a new multiplicity, called the e-multiplicity, of a restricted multiarrangement. We compute the e-multiplicities in many cases. Then we apply the addition-deletion theorems to various arrangements including supersolvable arrangements and the Coxeter arrangement of type A3 to construct free and non-free multiarrangements. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69631 |
| 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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