The symmetric signature
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https://osnadocs.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-2016030214275
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 |
Dateien zu dieser Ressource:
Datei | Beschreibung | Größe | Format | |
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thesis_caminata.pdf | Präsentationsformat | 625 kB | Adobe PDF | thesis_caminata.pdf Öffnen/Anzeigen |
Diese Ressource wurde unter folgender Copyright-Bestimmung veröffentlicht: Lizenz von Creative Commons