Title:	The symmetric signature
Authors:	Caminata, Alessio
Thesis advisor:	Prof. Dr. Holger Brenner
Thesis referee:	Prof. Dr. Winfried Bruns
Abstract:	We define two related invariants for a d-dimensional local ring (R,m,k) called syzygy and differential symmetric signature by looking at the maximal free splitting of reflexive symmetric powers of two modules: the top dimensional syzygy module of the residue field and the module of Kähler differentials of R over k. We compute these invariants for two-dimensional ADE singularities obtaining 1/|G|, where |G| is the order of the acting group, and for cones over elliptic curves obtaining 0 for the differential symmetric signature. These values coincide with the F-signature of such rings in positive characteristic.
URL:	https://osnadocs.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-2016030214275
Subject Keywords:	commutative algebra; F-signature
Issue Date:	2-Mar-2016
License name:	Namensnennung 3.0 Unported
License url:	http://creativecommons.org/licenses/by/3.0/
Type of publication:	Dissertation oder Habilitation [doctoralThesis]
Appears in Collections:	FB06 - E-Dissertationen

This item is licensed under a Creative Commons License