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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 |
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| 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 |