DUAL F-SIGNATURE OF SPECIAL COHEN-MACAULAY MODULES OVER CYCLIC QUOTIENT SURFACE SINGULARITIES

作者：Nakajima Yusuke^*

来源：Journal of Commutative Algebra, 2018, 10(1): 83-105.

DOI：10.1216/JCA-2018-10-1-83

• F-signature
• dual F-signature
• Auslander-Reiten quiver
• cyclic quotient surface singularities
• special Cohen-Macaulay modules

The notion of F-signature was defined by Huneke and Leuschke and this numerical invariant characterizes 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.

• 出版日期2018