ナカジマ ユウスケ
  中嶋 祐介
   所属   京都産業大学  理学部 数理科学科
   職種   准教授
言語種別 英語
発行・発表の年月 2018/05
形態種別 研究論文
査読 査読あり
標題 Dual F-signature of special Cohen-Macaulay modules over cyclic quotient surface singularities
執筆形態 単著
掲載誌名 Journal of Commutative Algebra
掲載区分国外
出版社・発行元 Rocky Mountain Mathematics Consortium
巻・号・頁 10(1),pp.83-105
著者・共著者 Yusuke Nakajima
概要 The notion of F-signature was defined by Huneke and Leuschke and this numerical invariant charac- terizes some singularities. This notion is extended to finitely generated modules by Sannai and is called dual F-signature. In this paper, we determine the dual F-signature of a certain class of Cohen-Macaulay modules (so-called "special") over cyclic quotient surface singularities. Also, we compare the dual F-signature of a special Cohen-Macaulay module with that of its Auslander-Reiten translation. This gives a new characterization of the Gorensteinness.
NAID 1939-2346