Periodicity of non-central integral arrangements modulo positive integers

Kamiya, Hidehiko; Takemura, Akimichi; Terao, Hiroaki

Hokkaido University Preprint Series in Mathematics, 2008, 903, 1-15

Permalink : https://doi.org/10.14943/84053

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アクセス権	open access
DOI	https://doi.org/10.14943/84053
URI	https://hdl.handle.net/2115/69711
タイトル	Periodicity of non-central integral arrangements modulo positive integers
著者	Kamiya, Hidehiko ; Takemura, Akimichi ; Terao, Hiroaki
著者名 Kamiya, Hidehiko
著者名 Takemura, Akimichi
著者名 Terao, Hiroaki
言語	英語
キーワード	characteristic quasi-polynomial
	elementary divisor
	hyperplane arrangement
	intersection poset.
発行日	2008-03
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	903
ページ	1-15
抄録	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.
資源タイプ	紀要論文
出版タイプ	Version of Record