osnaDocs: Subdivisions of simplicial complexes

Subdivisions of simplicial complexes

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https://osnadocs.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-202109145342

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DC Field	Value	Language
dc.contributor.advisor	Prof. Dr. Martina Juhnke-Kubitzke	ger
dc.creator	Brunink, Jan-Marten	-
dc.date.accessioned	2021-09-14T11:37:48Z	-
dc.date.available	2021-09-14T11:37:48Z	-
dc.date.issued	2021-09-14T11:37:49Z	-
dc.identifier.uri	https://osnadocs.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-202109145342	-
dc.description.abstract	The topic of this thesis are subdivisions of simplicial complexes, in particular we focus on the so-called antiprism triangulation. In the first main part, the real-rootedness of the h-polynomial of the antiprism triangulation of the simplex is proven. Furthermore, we study combinatorial interpretations of several invariants as the h- and local h-vector. In the second part, we show the almost strong Lefschetz property of the antiprism triangulation for every shellable simplicial complex.	eng
dc.rights	Attribution 3.0 Germany	*
dc.rights.uri	http://creativecommons.org/licenses/by/3.0/de/	*
dc.subject	Subdivisions of simplicial complexes	eng
dc.subject	antiprism triangulation	eng
dc.subject	real-rootedness	eng
dc.subject	Lefschetz properties	eng
dc.subject.ddc	510 - Mathematik	ger
dc.title	Subdivisions of simplicial complexes	eng
dc.type	Dissertation oder Habilitation [doctoralThesis]	-
thesis.location	Osnabrück	-
thesis.institution	Universität	-
thesis.type	Dissertation [thesis.doctoral]	-
thesis.date	2021-05-03	-
dc.contributor.referee	Prof. Dr. Tim Römer	ger
Appears in Collections:	FB06 - E-Dissertationen

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