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Periodicity of non-central integral arrangements modulo positive integers
| Title: | Periodicity of non-central integral arrangements modulo positive integers |
| Authors: | Kamiya, Hidehiko Browse this author | | Takemura, Akimichi Browse this author | | Terao, Hiroaki Browse this author |
| Keywords: | characteristic quasi-polynomial | | elementary divisor | | hyperplane arrangement | | intersection poset. |
| Issue Date: | Mar-2008 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 903 |
| Start Page: | 1 |
| End Page: | 15 |
| Abstract: | An integral coefficient matrix determines an integral arrangement of hyperplanes n Rm. After modulo q reduction (q ∈ Z>0), the same matrix determines an arrangement q of “hyperplanes” in Zmq In the special case of central arrangements, amiya, Takemura and Terao [J. Algebraic Combin., to appear] showed that the cardinality f the complement of Aq in Zmq s a quasi-polynomial in q ∈ Z>0. Moreover, hey proved in the central case that the intersection lattice of Aq is periodic from ome q on. The present paper generalizes these results to the case of non-central rrangements. The paper also studies the arrangement ˆ B[0,a] of Athanasiadis [J. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69711 |
| 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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