Geodesic
The Minkowski property and reflexivity of marked poset polytopes
Xin Fang1 ; Ghislain Fourier2 ; Christoph Pegel3
1Universität zu Köln
2RWTH Aachen
3Leibniz Universität Hannover
The electronic journal of combinatorics, Tome 27 (2020) no. 1
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We study the Minkowski property and reflexivity of marked poset polytopes. Both are relevant to the study of toric varieties associated to marked poset polytopes: the Minkowski property can be used to obtain generators of coordinate rings, while reflexive polytopes correspond to Gorenstein–Fano toric varieties.
DOI : 10.37236/8144
Classification : 52B20, 06A07, 14M25
Mots-clés : lattice polytopes, Minkowski sum decompositions, marked posets, reflexive polytopes, toric varieties, toric degenerations

Xin Fang  1   ; Ghislain Fourier  2   ; Christoph Pegel  3

1 Universität zu Köln
2 RWTH Aachen
3 Leibniz Universität Hannover 
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     author = {Xin Fang and Ghislain Fourier and Christoph Pegel},
     title = {The {Minkowski} property and reflexivity of marked poset polytopes},
     journal = {The electronic journal of combinatorics},
     year = {2020},
     volume = {27},
     number = {1},
     doi = {10.37236/8144},
     zbl = {1437.52011},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/8144/}
}
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Xin Fang; Ghislain Fourier; Christoph Pegel. The Minkowski property and reflexivity of marked poset polytopes. The electronic journal of combinatorics, Tome 27 (2020) no. 1. doi: 10.37236/8144

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