Universität zu Köln

Fang, Xin, Fourier, Ghislain and Pegel, Christoph (2020). The Minkowski property and reflexivity of marked poset polytopes. Electron. J. Comb., 27 (1). NEWARK: ELECTRONIC JOURNAL OF COMBINATORICS. ISSN 1077-8926

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Abstract

We provide a Minkowski sum decomposition of marked chain-order polytopes into building blocks associated to elementary markings and thus give an explicit minimal set of generators of an associated semi-group algebra. We proceed by characterizing the reflexive polytopes among marked chain-order polytopes as those with the underlying marked poset being ranked.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Fang, Xin UNSPECIFIED UNSPECIFIED UNSPECIFIED Fourier, Ghislain UNSPECIFIED UNSPECIFIED UNSPECIFIED Pegel, Christoph UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-348292
Journal or Publication Title:	Electron. J. Comb.
Volume:	27
Number:	1
Date:	2020
Publisher:	ELECTRONIC JOURNAL OF COMBINATORICS
Place of Publication:	NEWARK
ISSN:	1077-8926
Language:	English
Faculty:	Faculty of Mathematics and Natural Sciences
Divisions:	Faculty of Mathematics and Natural Sciences > Department of Mathematics and Computer Science > Mathematical Institute
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language TORIC DEGENERATIONS; MODULES Multiple languages Mathematics, Applied; Mathematics Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/34829