Dual Fsignature of special CohenMacaulay modules over cyclic quotient surface singularities
Abstract
The notion of $F$signature is defined by C. Huneke and G. Leuschke and this numerical invariant characterizes some singularities. This notion is extended to finitely generated modules and called dual $F$signature. In this paper, we determine the dual $F$signature of a certain class of CohenMacaulay modules (socalled "special") over cyclic quotient surface singularities. Also, we compare the dual $F$signature of a special CohenMacaulay module with that of its AuslanderReiten translation. This gives a new characterization of the Gorensteiness.
 Publication:

arXiv eprints
 Pub Date:
 November 2013
 DOI:
 10.48550/arXiv.1311.5967
 arXiv:
 arXiv:1311.5967
 Bibcode:
 2013arXiv1311.5967N
 Keywords:

 Mathematics  Commutative Algebra;
 Mathematics  Representation Theory
 EPrint:
 14 pages, to appear in J. Commut. Algebra, v3: improved proofs of theorems, v2: minor changes