Universität zu Köln

Fang, Xin, Fourier, Ghislain, Litza, Jan-Philipp and Pegel, Christoph (2020). A CONTINUOUS FAMILY OF MARKED POSET POLYTOPES. SIAM Discret. Math., 34 (1). S. 611 - 640. PHILADELPHIA: SIAM PUBLICATIONS. ISSN 1095-7146

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Abstract

For any marked poset we define a continuous family of polytopes, parametrized by a hypercube, generalizing the notions of marked order and marked chain polytopes. By providing transfer maps, we show that the vertices of the hypercube parametrize an Ehrhart equivalent family of lattice polytopes. The combinatorial type of the polytopes is constant when the parameters vary in the relative interior of each face of the hypercube. Moreover, with the help of a subdivision arising from a tropical hyperplane arrangement associated to the marked poset, we give an explicit description of the vertices of the polytope for generic parameters.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Fang, Xin UNSPECIFIED UNSPECIFIED UNSPECIFIED Fourier, Ghislain UNSPECIFIED UNSPECIFIED UNSPECIFIED Litza, Jan-Philipp UNSPECIFIED UNSPECIFIED UNSPECIFIED Pegel, Christoph UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-350607
DOI:	10.1137/18M1228529
Journal or Publication Title:	SIAM Discret. Math.
Volume:	34
Number:	1
Page Range:	S. 611 - 640
Date:	2020
Publisher:	SIAM PUBLICATIONS
Place of Publication:	PHILADELPHIA
ISSN:	1095-7146
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 PBW FILTRATION; ORDER; MODULES Multiple languages Mathematics, Applied Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/35060