中嶋 祐介
   所属   京都産業大学  理学部 数理科学科
   職種   助教
言語種別 英語
発行・発表の年月 2015/10
形態種別 研究論文
査読 査読あり
標題 Dual F-Signature of Cohen-Macaulay Modules Over Rational Double Points
執筆形態 単著
掲載誌名 ALGEBRAS AND REPRESENTATION THEORY
掲載区分国外
出版社・発行元 SPRINGER
巻・号・頁 18(5),pp.1211-1245
著者・共著者 Yusuke Nakajima
概要 The dual F-signature is a numerical invariant defined via the Frobenius morphism in positive characteristic. It is known that the dual F-signature characterizes some singularities. However, the value of the dual F-signature is not known except in only a few cases. In this paper, we determine the dual F-signature of Cohen-Macaulay modules over two-dimensional rational double points. The method for determining the dual F-signature is also valid for determining the Hilbert-Kunz multiplicity. We discuss it in Appendix.
NAID 1386-923X