Hilbert-Kunz functions of surface rings of type ADE

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dc.contributor.advisorProf. Dr. Holger Brenner
dc.creatorBrinkmann, Daniel
dc.date.accessioned2013-08-27T07:47:45Z
dc.date.available2013-08-27T07:47:45Z
dc.date.issued2013-08-27T07:47:45Z
dc.identifier.urihttps://osnadocs.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-2013082711496-
dc.description.abstractWe compute the Hilbert-Kunz functions of two-dimensional rings of type ADE by using representations of their indecomposable, maximal Cohen-Macaulay modules in terms of matrix factorizations, and as first syzygy modules of homogeneous ideals.eng
dc.subjectHilbert-Kunzeng
dc.subjectADE singularityeng
dc.subjectmaximal Cohen-Macaulayeng
dc.subjectvector bundleeng
dc.subjectFrobenius periodicityeng
dc.subjectHilbert-serieseng
dc.subjectsyzygy moduleeng
dc.subjectmatrix factorizationeng
dc.subjectFermat curveeng
dc.subjectstrongly semistableeng
dc.subject.ddc510 - Mathematik
dc.titleHilbert-Kunz functions of surface rings of type ADEeng
dc.title.alternativeHilbert-Kunz Funktionen zweidimensionaler Ringe vom Typ ADEger
dc.typeDissertation oder Habilitation [doctoralThesis]-
thesis.locationOsnabrück-
thesis.institutionUniversität-
thesis.typeDissertation [thesis.doctoral]-
thesis.date2013-08-12-
dc.contributor.refereeProf. Dr. Claudia Miller
dc.subject.bk31.51 - Algebraische Geometrie
dc.subject.bk31.23 - Ideale, Ringe, Moduln, Algebren
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