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Abstract: We show that if two lattice $ 3$-polytopes $ P$ and $ P'$ have the same Ehrhart function, then they are $ \operatorname {GL}_d(\mathbb{Z}) $-equidecomposable, that is, they can be partitioned into relatively open simplices $ U_1,\dots , U_k$ and $ U'_1,\dots ,U'_k$ such that $ U_i$ and $ U'_i$ are unimodularly equivalent for each $ i$.
Fuente: Proc. Amer. Math. Soc. 147 (2019), 5373-5383
Publisher: American Mathematical Society
Year of publication: 2019
Publication type: Article
ISSN: 0002-9939,1088-6826
Publication Url: https://doi.org/10.1090/proc/14626
ERBE, JAKOB
HAASE, CHRISTIAN
FRANCISCO SANTOS LEAL
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