osnaDocs: The symmetric signature

The symmetric signature

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https://osnadocs.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-2016030214275

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DC Element	Wert	Sprache
dc.contributor.advisor	Prof. Dr. Holger Brenner
dc.creator	Caminata, Alessio
dc.date.accessioned	2016-03-02T08:22:26Z
dc.date.available	2016-03-02T08:22:26Z
dc.date.issued	2016-03-02T08:22:26Z
dc.identifier.uri	https://osnadocs.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-2016030214275	-
dc.description.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.	eng
dc.rights	Namensnennung 3.0 Unported	-
dc.rights.uri	http://creativecommons.org/licenses/by/3.0/	-
dc.subject	commutative algebra	eng
dc.subject	F-signature	eng
dc.subject.ddc	510 - Mathematik
dc.title	The symmetric signature	eng
dc.type	Dissertation oder Habilitation [doctoralThesis]	-
thesis.location	Osnabrück	-
thesis.institution	Universität	-
thesis.type	Dissertation [thesis.doctoral]	-
thesis.date	2016-02-29	-
dc.contributor.referee	Prof. Dr. Winfried Bruns
vCard.ORG	FB6
Enthalten in den Sammlungen:	FB06 - E-Dissertationen

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