The symmetric signature

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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 K√§hler 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.
Subject Keywords: commutative algebra; F-signature
Issue Date: 2-Mar-2016
License name: Namensnennung 3.0 Unported
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Type of publication: Dissertation oder Habilitation [doctoralThesis]
Appears in Collections:FB06 - E-Dissertationen

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