caa a22 4500 606161112 CHVBK 20210128100633.0 cr unu---uuuuu 210128e20151001xx s 000 0 eng 10.1007/s10468-015-9538-7 doi (NATIONALLICENCE)springer-10.1007/s10468-015-9538-7 Nakajima Yusuke Graduate School Of Mathematics, Nagoya University, 464-8602, Chikusa-Ku, Nagoya, Japan aut Dual F -Signature of Cohen-Macaulay Modules Over Rational Double Points [Elektronische Daten] [Yusuke Nakajima] 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. Springer Science+Business Media Dordrecht, 2015 F -signature nationallicence Dual F -signature nationallicence Generalized F -signature nationallicence Hilbert-Kunz multiplicity nationallicence Quotient surface singularities nationallicence Auslander-Reiten quiver nationallicence Algebras and Representation Theory Springer Netherlands 18/5(2015-10-01), 1211-1245 1386-923X 18:5<1211 2015 18 10468 https://doi.org/10.1007/s10468-015-9538-7 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10468-015-9538-7 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Nakajima Yusuke Graduate School Of Mathematics, Nagoya University, 464-8602, Chikusa-Ku, Nagoya, Japan aut NATIONALLICENCE 773 0- Algebras and Representation Theory Springer Netherlands 18/5(2015-10-01), 1211-1245 1386-923X 18:5<1211 2015 18 10468