Dagger closure

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dc.contributor.advisorProf. Dr. Holger Brenner
dc.creatorStäbler, Axel
dc.date.accessioned2011-01-17T13:58:24Z
dc.date.available2011-01-17T13:58:24Z
dc.date.issued2011-01-17T13:58:24Z
dc.identifier.urihttps://osnadocs.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-201101177687-
dc.description.abstractWe prove that solid closure and graded dagger closure agree for homogeneous ideals in two dimensional $\mathbb{N}$-graded domains of finite type over a field. We also prove that dagger closure is trivial for ideals in regular rings containing a field and that graded dagger closure is trivial for $\mathbb{N}$-graded regular rings of finite type over a field. Finally, we prove an inclusion result for graded dagger closure for homogeneous primary ideals in certain section rings of abelian varieties.eng
dc.subjectIdealabschlussoperationger
dc.subject.ddc510 - Mathematik
dc.titleDagger closureeng
dc.typeDissertation oder Habilitation [doctoralThesis]-
thesis.locationOsnabrück-
thesis.institutionUniversität-
thesis.typeDissertation [thesis.doctoral]-
thesis.date2010-12-15-
dc.contributor.refereeProf. Dr. Manuel Blickle
dc.contributor.refereeProf. Anurag Singh PhD
dc.subject.bk31.23 - Ideale, Ringe, Moduln, Algebren
dc.subject.bk31.51 - Algebraische Geometrie
dc.subject.msc14-02 - Research exposition
dc.subject.msc13-02 - Research exposition
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