On graded ideals over the exterior algebra with applications to hyperplane arrangements

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https://osnadocs.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-2013092311626
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dc.contributor.advisorProf. Dr. Tim Römer
dc.creatorThieu, Dinh Phong
dc.date.accessioned2013-09-23T17:06:44Z
dc.date.available2013-09-23T17:06:44Z
dc.date.issued2013-09-23T17:06:44Z
dc.identifier.urihttps://osnadocs.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-2013092311626-
dc.description.abstractGraded ideals over the polynomial ring are studied deeply with a huge of methods and results. Over the exterior algebra, there are not much known about the structures of minimal graded resolutions, Gröbner fans of graded ideals or the Koszul property of algebras defined by graded ideals. We study componentwise linearity, linear resolutions of graded ideals as well as universally, initially and strongly Koszul properties of graded algebras defined by a graded ideals over the exterior algebra. After that, we apply our results to Orlik-Solomon ideals of hyperplane arrangements and show in which way the exterior algebra is useful in the study of related combinatorial objects.eng
dc.subjectExterior Algebraeng
dc.subjectComponentwise lineareng
dc.subjectOrlik-Solomon Algebraeng
dc.subjectKoszul algebraseng
dc.subject.ddc510 - Mathematik
dc.titleOn graded ideals over the exterior algebra with applications to hyperplane arrangementseng
dc.typeDissertation oder Habilitation [doctoralThesis]-
thesis.locationOsnabrück-
thesis.institutionUniversität-
thesis.typeDissertation [thesis.doctoral]-
thesis.date2013-09-19-
dc.contributor.refereeProf. Dr. Uwe Nagel
dc.subject.bk31.20 - Algebra: Allgemeines
vCard.ORGFB6
Enthalten in den Sammlungen:FB06 - E-Dissertationen

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