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

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 Field	Value	Language
dc.contributor.advisor	Prof. Dr. Tim Römer
dc.creator	Thieu, Dinh Phong
dc.date.accessioned	2013-09-23T17:06:44Z
dc.date.available	2013-09-23T17:06:44Z
dc.date.issued	2013-09-23T17:06:44Z
dc.identifier.uri	https://osnadocs.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-2013092311626	-
dc.description.abstract	Graded 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.subject	Exterior Algebra	eng
dc.subject	Componentwise linear	eng
dc.subject	Orlik-Solomon Algebra	eng
dc.subject	Koszul algebras	eng
dc.subject.ddc	510 - Mathematik
dc.title	On graded ideals over the exterior algebra with applications to hyperplane arrangements	eng
dc.type	Dissertation oder Habilitation [doctoralThesis]	-
thesis.location	Osnabrück	-
thesis.institution	Universität	-
thesis.type	Dissertation [thesis.doctoral]	-
thesis.date	2013-09-19	-
dc.contributor.referee	Prof. Dr. Uwe Nagel
dc.subject.bk	31.20 - Algebra: Allgemeines
vCard.ORG	FB6
Appears in Collections:	FB06 - E-Dissertationen

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