Dual F-Signature of Cohen-Macaulay Modules Over Rational Double Points

被引：3
|
作者：
Nakajima, Yusuke [1 ]
机构：
[1] Nagoya Univ, Grad Sch Math, Chikusa Ku, Nagoya, Aichi 4648602, Japan
来源：
ALGEBRAS AND REPRESENTATION THEORY | 2015年 / 18卷 / 05期
关键词：
F-signature; Dual F-signature; Generalized F-signature; Hilbert-Kunz multiplicity; Quotient surface singularities; Auslander-Reiten quiver; HILBERT-KUNZ MULTIPLICITY; CHARACTERISTIC-P; LOCAL-RINGS; SINGULARITIES;
D O I：
10.1007/s10468-015-9538-7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
引用
收藏
页码：1211 / 1245
页数：35
相关论文
共 16 条
12